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57204972 = 223211197603
BaseRepresentation
bin1101101000111…
…0000011101100
310222122022110200
43122032003230
5104121024342
65402033500
71263143226
oct332160354
9128568420
1057204972
112a321a40
12171a8890
13bb0b9c6
147851416
15504e94c
hex368e0ec

57204972 has 72 divisors (see below), whose sum is σ = 166071360. Its totient is φ = 16420320.

The previous prime is 57204971. The next prime is 57204977. The reversal of 57204972 is 27940275.

57204972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (57204971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3723 + ... + 11325.

Almost surely, 257204972 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 57204972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83035680).

57204972 is an abundant number, since it is smaller than the sum of its proper divisors (108866388).

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

57204972 is a wasteful number, since it uses less digits than its factorization.

57204972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57204972 is about 7563.3968559107. The cubic root of 57204972 is about 385.3108682787.

The spelling of 57204972 in words is "fifty-seven million, two hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 7603 15206 22809 30412 45618 68427 83633 91236 136854 144457 167266 250899 273708 288914 334532 433371 501798 577828 752697 866742 1003596 1300113 1505394 1589027 1733484 2600226 3010788 3178054 4767081 5200452 6356108 9534162 14301243 19068324 28602486 57204972