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57156372 = 223271373239
BaseRepresentation
bin1101101000001…
…0001100010100
310222112211210200
43122002030110
5104113000442
65401020500
71262551440
oct332021424
9128484720
1057156372
112a299479
1217184730
13bac2850
14783b820
15504034c
hex3682314

57156372 has 144 divisors (see below), whose sum is σ = 181009920. Its totient is φ = 14805504.

The previous prime is 57156347. The next prime is 57156391. The reversal of 57156372 is 27365175.

57156372 is a `hidden beast` number, since 5 + 7 + 15 + 637 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239029 + ... + 239267.

Almost surely, 257156372 is an apocalyptic number.

57156372 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57156372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90504960).

57156372 is an abundant number, since it is smaller than the sum of its proper divisors (123853548).

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

57156372 is a wasteful number, since it uses less digits than its factorization.

57156372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 57156372 is about 7560.1833311104. The cubic root of 57156372 is about 385.2017203431.

The spelling of 57156372 in words is "fifty-seven million, one hundred fifty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 73 78 84 91 117 126 146 156 182 219 234 239 252 273 292 364 438 468 478 511 546 657 717 819 876 949 956 1022 1092 1314 1434 1533 1638 1673 1898 2044 2151 2628 2847 2868 3066 3107 3276 3346 3796 4302 4599 5019 5694 6132 6214 6643 6692 8541 8604 9198 9321 10038 11388 12428 13286 15057 17082 17447 18396 18642 19929 20076 21749 26572 27963 30114 34164 34894 37284 39858 43498 52341 55926 59787 60228 65247 69788 79716 86996 104682 111852 119574 122129 130494 157023 195741 209364 226811 239148 244258 260988 314046 366387 391482 453622 488516 628092 680433 732774 782964 907244 1099161 1360866 1465548 1587677 2041299 2198322 2721732 3175354 4082598 4396644 4763031 6350708 8165196 9526062 14289093 19052124 28578186 57156372