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57155868 = 22347112979
BaseRepresentation
bin1101101000001…
…0000100011100
310222112211010000
43122002010130
5104112441433
65401014300
71262550120
oct332020434
9128484100
1057155868
112a299060
1217184390
13bac2553
14783b580
155040113
hex368211c

57155868 has 240 divisors, whose sum is σ = 195148800. Its totient is φ = 14152320.

The previous prime is 57155863. The next prime is 57155873. The reversal of 57155868 is 86855175.

57155868 is a `hidden beast` number, since 57 + 15 + 586 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57155863) and next prime (57155873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57155863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 723453 + ... + 723531.

It is an arithmetic number, because the mean of its divisors is an integer number (813120).

Almost surely, 257155868 is an apocalyptic number.

57155868 is a gapful number since it is divisible by the number (58) 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 57155868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

57155868 is an abundant number, since it is smaller than the sum of its proper divisors (137992932).

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

57155868 is a wasteful number, since it uses less digits than its factorization.

57155868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 57155868 is about 7560.1499985119. The cubic root of 57155868 is about 385.2005881145.

The spelling of 57155868 in words is "fifty-seven million, one hundred fifty-five thousand, eight hundred sixty-eight".