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57008172 = 22313715147
BaseRepresentation
bin1101100101111…
…0000000101100
310222021022111210
43121132000230
5104043230142
65353514420
71261363404
oct331360054
9128238453
1057008172
112a1a80a1
1217112a10
13ba70260
1477dd804
15501149c
hex365e02c

57008172 has 48 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 17290560.

The previous prime is 57008129. The next prime is 57008173. The reversal of 57008172 is 27180075.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57008173) 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, 8503 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 257008172 is an apocalyptic number.

57008172 is a gapful number since it is divisible by the number (52) 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 57008172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

57008172 is an abundant number, since it is smaller than the sum of its proper divisors (88288980).

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

57008172 is a wasteful number, since it uses less digits than its factorization.

57008172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 57008172 is about 7550.3756197953. The cubic root of 57008172 is about 384.8685040332.

The spelling of 57008172 in words is "fifty-seven million, eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5147 5538 10294 11076 15441 20588 30882 61764 66911 133822 200733 267644 365437 401466 730874 802932 1096311 1461748 2192622 4385244 4750681 9501362 14252043 19002724 28504086 57008172