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5482474320 = 2435195692113
BaseRepresentation
bin1010001101100011…
…11110101101010000
3112011002020112220110
411012301332231100
542212003134240
62304004241320
7252601156101
oct50661765520
915132215813
105482474320
112363794114
1210900a0240
13694ab885b
143a01b43a8
152214abc80
hex146c7eb50

5482474320 has 160 divisors (see below), whose sum is σ = 17930102400. Its totient is φ = 1381957632.

The previous prime is 5482474271. The next prime is 5482474321. The reversal of 5482474320 is 234742845.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482474321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593584 + ... + 2595696.

It is an arithmetic number, because the mean of its divisors is an integer number (112063140).

Almost surely, 25482474320 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 5482474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965051200).

5482474320 is an abundant number, since it is smaller than the sum of its proper divisors (12447628080).

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

5482474320 is a wasteful number, since it uses less digits than its factorization.

5482474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 5482474320 is about 74043.7324829050. The cubic root of 5482474320 is about 1763.2972710069.

The spelling of 5482474320 in words is "five billion, four hundred eighty-two million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 569 570 760 912 1138 1140 1520 1707 2113 2276 2280 2845 3414 4226 4552 4560 5690 6339 6828 8452 8535 9104 10565 10811 11380 12678 13656 16904 17070 21130 21622 22760 25356 27312 31695 32433 33808 34140 40147 42260 43244 45520 50712 54055 63390 64866 68280 80294 84520 86488 101424 108110 120441 126780 129732 136560 160588 162165 169040 172976 200735 216220 240882 253560 259464 321176 324330 401470 432440 481764 507120 518928 602205 642352 648660 802940 864880 963528 1202297 1204410 1297320 1605880 1927056 2404594 2408820 2594640 3211760 3606891 4809188 4817640 6011485 7213782 9618376 9635280 12022970 14427564 18034455 19236752 22843643 24045940 28855128 36068910 45687286 48091880 57710256 68530929 72137820 91374572 96183760 114218215 137061858 144275640 182749144 228436430 274123716 288551280 342654645 365498288 456872860 548247432 685309290 913745720 1096494864 1370618580 1827491440 2741237160 5482474320