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57099924 = 22337471607
BaseRepresentation
bin1101100111010…
…0011010010100
310222102222101000
43121310122110
5104104144144
65355503300
71262225040
oct331643224
9128388330
1057099924
112a260022
1217157b30
13baa2c4b
147825020
15502d769
hex3674694

57099924 has 96 divisors (see below), whose sum is σ = 172892160. Its totient is φ = 15957216.

The previous prime is 57099919. The next prime is 57099937. The reversal of 57099924 is 42999075.

57099924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57099924.

It is a congruent number.

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, 34729 + ... + 36335.

It is an arithmetic number, because the mean of its divisors is an integer number (1800960).

Almost surely, 257099924 is an apocalyptic number.

57099924 is a gapful number since it is divisible by the number (54) 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 57099924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86446080).

57099924 is an abundant number, since it is smaller than the sum of its proper divisors (115792236).

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

57099924 is a wasteful number, since it uses less digits than its factorization.

57099924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 57099924 is about 7556.4491661097. The cubic root of 57099924 is about 385.0748693435.

The spelling of 57099924 in words is "fifty-seven million, ninety-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1607 1692 1974 2538 2961 3214 3948 4821 5076 5922 6428 8883 9642 11249 11844 14463 17766 19284 22498 28926 33747 35532 43389 44996 57852 67494 75529 86778 101241 134988 151058 173556 202482 226587 302116 303723 404964 453174 528703 607446 679761 906348 1057406 1214892 1359522 1586109 2039283 2114812 2719044 3172218 4078566 4758327 6344436 8157132 9516654 14274981 19033308 28549962 57099924