Search a number
-
+
5244425040 = 2435235916103
BaseRepresentation
bin1001110001001011…
…11001001101010000
3111112111022101200110
410320211321031100
541220033100130
62224222121320
7243650606631
oct47045711520
914474271613
105244425040
112251383178
121024420240
1365769b8aa
1437a729888
1520a638ab0
hex138979350

5244425040 has 160 divisors (see below), whose sum is σ = 17253181440. Its totient is φ = 1314953728.

The previous prime is 5244425009. The next prime is 5244425051. The reversal of 5244425040 is 405244425.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5244424989 and 5244425007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317629 + ... + 333731.

It is an arithmetic number, because the mean of its divisors is an integer number (107832384).

Almost surely, 25244425040 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 5244425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626590720).

5244425040 is an abundant number, since it is smaller than the sum of its proper divisors (12008756400).

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

5244425040 is a wasteful number, since it uses less digits than its factorization.

5244425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16201 (or 16195 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 5244425040 is about 72418.4026335848. The cubic root of 5244425040 is about 1737.3979074289.

Adding to 5244425040 its reverse (405244425), we get a palindrome (5649669465).

The spelling of 5244425040 in words is "five billion, two hundred forty-four million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 59 60 69 80 92 115 118 120 138 177 184 230 236 240 276 295 345 354 368 460 472 552 590 690 708 885 920 944 1104 1180 1357 1380 1416 1770 1840 2360 2714 2760 2832 3540 4071 4720 5428 5520 6785 7080 8142 10856 13570 14160 16103 16284 20355 21712 27140 32206 32568 40710 48309 54280 64412 65136 80515 81420 96618 108560 128824 161030 162840 193236 241545 257648 322060 325680 370369 386472 483090 644120 740738 772944 950077 966180 1111107 1288240 1481476 1851845 1900154 1932360 2222214 2850231 2962952 3703690 3800308 3864720 4444428 4750385 5555535 5700462 5925904 7407380 7600616 8888856 9500770 11111070 11400924 14251155 14814760 15201232 17777712 19001540 21851771 22222140 22801848 28502310 29629520 38003080 43703542 44444280 45603696 57004620 65555313 76006160 87407084 88888560 109258855 114009240 131110626 174814168 218517710 228018480 262221252 327776565 349628336 437035420 524442504 655553130 874070840 1048885008 1311106260 1748141680 2622212520 5244425040