Search a number
-
+
532403555440 = 245193148723201
BaseRepresentation
bin1111011111101011011…
…10011000110001110000
31212220020010012212211111
413233311232120301300
532210330302233230
61044325515523104
753315312360431
oct7576556306160
91786203185744
10532403555440
11195877a22289
1287224a59494
133b289474c13
141baa8975488
15dcb078692a
hex7bf5b98c70

532403555440 has 160 divisors (see below), whose sum is σ = 1347839447040. Its totient is φ = 194835456000.

The previous prime is 532403555407. The next prime is 532403555473. The reversal of 532403555440 is 44555304235.

It is an interprime number because it is at equal distance from previous prime (532403555407) and next prime (532403555473).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 532403555393 and 532403555402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22935840 + ... + 22959040.

It is an arithmetic number, because the mean of its divisors is an integer number (8423996544).

Almost surely, 2532403555440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532403555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673919723520).

532403555440 is an abundant number, since it is smaller than the sum of its proper divisors (815435891600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

532403555440 is a wasteful number, since it uses less digits than its factorization.

532403555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23751 (or 23745 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

Adding to 532403555440 its reverse (44555304235), we get a palindrome (576958859675).

The spelling of 532403555440 in words is "five hundred thirty-two billion, four hundred three million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 487 496 589 620 760 974 1178 1240 1520 1948 2356 2435 2480 2945 3896 4712 4870 5890 7792 9253 9424 9740 11780 15097 18506 19480 23201 23560 30194 37012 38960 46265 46402 47120 60388 74024 75485 92530 92804 116005 120776 148048 150970 185060 185608 232010 241552 286843 301940 370120 371216 440819 464020 573686 603880 719231 740240 881638 928040 1147372 1207760 1434215 1438462 1763276 1856080 2204095 2294744 2868430 2876924 3526552 3596155 4408190 4589488 5736860 5753848 7053104 7192310 8816380 11298887 11473720 11507696 13665389 14384620 17632760 22597774 22947440 27330778 28769240 35265520 45195548 54661556 56494435 57538480 68326945 90391096 109323112 112988870 136653890 180782192 214678853 218646224 225977740 273307780 350265497 429357706 451955480 546615560 700530994 858715412 903910960 1073394265 1093231120 1401061988 1717430824 1751327485 2146788530 2802123976 3434861648 3502654970 4293577060 5604247952 6655044443 7005309940 8587154120 13310088886 14010619880 17174308240 26620177772 28021239760 33275222215 53240355544 66550444430 106480711088 133100888860 266201777720 532403555440