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57187040 = 2551133163
BaseRepresentation
bin1101101000100…
…1101011100000
310222121101212112
43122021223200
5104114441130
65401414452
71263040031
oct332115340
9128541775
1057187040
112a30a519
121719a428
13bb037b1
147848a88
155049495
hex3689ae0

57187040 has 48 divisors (see below), whose sum is σ = 136343088. Its totient is φ = 22665216.

The previous prime is 57187027. The next prime is 57187051. The reversal of 57187040 is 4078175.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 57186988 and 57187006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16499 + ... + 19661.

It is an arithmetic number, because the mean of its divisors is an integer number (2840481).

Almost surely, 257187040 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 57187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68171544).

57187040 is an abundant number, since it is smaller than the sum of its proper divisors (79156048).

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

57187040 is a wasteful number, since it uses less digits than its factorization.

57187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 57187040 is about 7562.2113168041. The cubic root of 57187040 is about 385.2706030340.

The spelling of 57187040 in words is "fifty-seven million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3163 3616 4520 6326 9040 12652 15815 18080 25304 31630 50608 63260 101216 126520 253040 357419 506080 714838 1429676 1787095 2859352 3574190 5718704 7148380 11437408 14296760 28593520 57187040