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57868020 = 22310572
BaseRepresentation
bin1101110010111…
…1111011110100
311000220000000000
43130233323310
5104303234040
65424151300
71301604300
oct334577364
9130800000
1057868020
112a735111
1217468530
13bcb1742
147984d00
155131130
hex372fef4

57868020 has 198 divisors, whose sum is σ = 212043762. Its totient is φ = 13226976.

The previous prime is 57868009. The next prime is 57868073. The reversal of 57868020 is 2086875.

57868020 is a `hidden beast` number, since 578 + 6 + 80 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 11573604 = 6804^2 + 3402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 8266857 + ... + 8266863.

Almost surely, 257868020 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 57868020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106021881).

57868020 is an abundant number, since it is smaller than the sum of its proper divisors (154175742).

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

57868020 is an equidigital number, since it uses as much as digits as its factorization.

57868020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57868020 is about 7607.1032594543. The cubic root of 57868020 is about 386.7938328595.

It can be divided in two parts, 5 and 7868020, that added together give a square (7868025 = 28052).

The spelling of 57868020 in words is "fifty-seven million, eight hundred sixty-eight thousand, twenty".