Search a number
-
+
57042972 = 22327415521
BaseRepresentation
bin1101100110011…
…0100000011100
310222100002020200
43121212200130
5104100333342
65354343500
71261600020
oct331464034
9128302220
1057042972
112a221258
121712ab90
13ba8304c
14780c380
15501b94c
hex366681c

57042972 has 72 divisors (see below), whose sum is σ = 168840672. Its totient is φ = 15897600.

The previous prime is 57042919. The next prime is 57043001. The reversal of 57042972 is 27924075.

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 23 ways as a sum of consecutive naturals, for example, 7572 + ... + 13092.

Almost surely, 257042972 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 57042972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420336).

57042972 is an abundant number, since it is smaller than the sum of its proper divisors (111797700).

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

57042972 is a wasteful number, since it uses less digits than its factorization.

57042972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5574 counting only the distinct ones).

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

The square root of 57042972 is about 7552.6797893198. The cubic root of 57042972 is about 384.9468009925.

The spelling of 57042972 in words is "fifty-seven million, forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 5521 10332 11042 16563 22084 33126 38647 49689 66252 77294 99378 115941 154588 198756 226361 231882 347823 452722 463764 679083 695646 905444 1358166 1391292 1584527 2037249 2716332 3169054 4074498 4753581 6338108 8148996 9507162 14260743 19014324 28521486 57042972