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57372040 = 235111011291
BaseRepresentation
bin1101101011011…
…0110110001000
310222221210122101
43122312312020
5104141401130
65405403144
71264440265
oct332666610
9128853571
1057372040
112a426510
12172694b4
13bb69a6b
14789626c
1550841ca
hex36b6d88

57372040 has 64 divisors (see below), whose sum is σ = 142326720. Its totient is φ = 20640000.

The previous prime is 57372017. The next prime is 57372043. The reversal of 57372040 is 4027375.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57372043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43795 + ... + 45085.

It is an arithmetic number, because the mean of its divisors is an integer number (2223855).

Almost surely, 257372040 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 57372040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71163360).

57372040 is an abundant number, since it is smaller than the sum of its proper divisors (84954680).

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

57372040 is a wasteful number, since it uses less digits than its factorization.

57372040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 57372040 is about 7574.4333121363. The cubic root of 57372040 is about 385.6856058106.

It can be divided in two parts, 5737 and 2040, that added together give a palindrome (7777).

The spelling of 57372040 in words is "fifty-seven million, three hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1291 2020 2222 2582 4040 4444 5164 5555 6455 8888 10328 11110 12910 14201 22220 25820 28402 44440 51640 56804 71005 113608 130391 142010 260782 284020 521564 568040 651955 1043128 1303910 1434301 2607820 2868602 5215640 5737204 7171505 11474408 14343010 28686020 57372040