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57147972 = 22371961587
BaseRepresentation
bin1101101000000…
…0001001000100
310222112102021120
43122000021010
5104112213342
65400513540
71262515110
oct332001104
9128472246
1057147972
112a293132
121717b8b0
13babba8b
147838740
15503caec
hex3680244

57147972 has 96 divisors (see below), whose sum is σ = 163322880. Its totient is φ = 15189120.

The previous prime is 57147967. The next prime is 57147983. The reversal of 57147972 is 27974175.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 97063 + ... + 97649.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 257147972 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 57147972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81661440).

57147972 is an abundant number, since it is smaller than the sum of its proper divisors (106174908).

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

57147972 is a wasteful number, since it uses less digits than its factorization.

57147972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 57147972 is about 7559.6277686140. The cubic root of 57147972 is about 385.1828489974.

The spelling of 57147972 in words is "fifty-seven million, one hundred forty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 61 76 84 114 122 133 183 228 244 266 366 399 427 532 587 732 798 854 1159 1174 1281 1596 1708 1761 2318 2348 2562 3477 3522 4109 4636 5124 6954 7044 8113 8218 11153 12327 13908 16226 16436 22306 24339 24654 32452 33459 35807 44612 48678 49308 66918 71614 78071 97356 107421 133836 143228 156142 214842 234213 250649 312284 429684 468426 501298 680333 751947 936852 1002596 1360666 1503894 2040999 2721332 3007788 4081998 4762331 8163996 9524662 14286993 19049324 28573986 57147972