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57038124 = 223111343773
BaseRepresentation
bin1101100110010…
…1010100101100
310222022211121010
43121211110230
5104100204444
65354305220
71261546623
oct331452454
9128284533
1057038124
112a218650
1217128210
13ba80a90
14780a6ba
15501a2b9
hex366552c

57038124 has 96 divisors (see below), whose sum is σ = 160199424. Its totient is φ = 15563520.

The previous prime is 57038087. The next prime is 57038131. The reversal of 57038124 is 42183075.

57038124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57038091 and 57038100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73402 + ... + 74174.

It is an arithmetic number, because the mean of its divisors is an integer number (1668744).

Almost surely, 257038124 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 57038124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80099712).

57038124 is an abundant number, since it is smaller than the sum of its proper divisors (103161300).

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

57038124 is a wasteful number, since it uses less digits than its factorization.

57038124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57038124 is about 7552.3588368138. The cubic root of 57038124 is about 384.9358953256.

The spelling of 57038124 in words is "fifty-seven million, thirty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 43 44 52 66 78 86 129 132 143 156 172 258 286 429 473 516 559 572 773 858 946 1118 1419 1546 1677 1716 1892 2236 2319 2838 3092 3354 4638 5676 6149 6708 8503 9276 10049 12298 17006 18447 20098 24596 25509 30147 33239 34012 36894 40196 51018 60294 66478 73788 99717 102036 110539 120588 132956 199434 221078 331617 365629 398868 432107 442156 663234 731258 864214 1096887 1296321 1326468 1462516 1728428 2193774 2592642 4387548 4753177 5185284 9506354 14259531 19012708 28519062 57038124