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57109536 = 2534112003
BaseRepresentation
bin1101100111011…
…0110000100000
310222110110120000
43121312300200
5104110001121
65400020000
71262265051
oct331666040
9128413500
1057109536
112a267270
1217161600
13baa7433
147828728
155031526
hex3676c20

57109536 has 120 divisors (see below), whose sum is σ = 183317904. Its totient is φ = 17297280.

The previous prime is 57109531. The next prime is 57109543. The reversal of 57109536 is 63590175.

It is a happy number.

It is a super-2 number, since 2×571095362 = 6522998204270592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 57109536.

It is not an unprimeable number, because it can be changed into a prime (57109531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27511 + ... + 29513.

Almost surely, 257109536 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 57109536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91658952).

57109536 is an abundant number, since it is smaller than the sum of its proper divisors (126208368).

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

57109536 is a wasteful number, since it uses less digits than its factorization.

57109536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57109536 is about 7557.0851523587. The cubic root of 57109536 is about 385.0964755134.

The spelling of 57109536 in words is "fifty-seven million, one hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2003 2376 2592 3168 3564 4006 4752 6009 7128 8012 9504 12018 14256 16024 18027 22033 24036 28512 32048 36054 44066 48072 54081 64096 66099 72108 88132 96144 108162 132198 144216 162243 176264 192288 198297 216324 264396 288432 324486 352528 396594 432648 528792 576864 594891 648972 705056 793188 865296 1057584 1189782 1297944 1586376 1730592 1784673 2115168 2379564 2595888 3172752 3569346 4759128 5191776 6345504 7138692 9518256 14277384 19036512 28554768 57109536