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57414816 = 2532199357
BaseRepresentation
bin1101101100000…
…1010010100000
311000000222022200
43123001102200
5104144233231
65410333200
71265006064
oct333012240
9130028280
1057414816
112a455668
121728a200
13bb83384
1478a7aa4
155091be6
hex36c14a0

57414816 has 36 divisors (see below), whose sum is σ = 163274202. Its totient is φ = 19138176.

The previous prime is 57414793. The next prime is 57414817. The reversal of 57414816 is 61841475.

It is a happy number.

57414816 is a `hidden beast` number, since 574 + 1 + 4 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31404816 + 26010000 = 5604^2 + 5100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×574148162 = 6592922192627712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57414817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99391 + ... + 99966.

Almost surely, 257414816 is an apocalyptic number.

It is an amenable number.

57414816 is an abundant number, since it is smaller than the sum of its proper divisors (105859386).

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

57414816 is a wasteful number, since it uses less digits than its factorization.

57414816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199373 (or 199362 counting only the distinct ones).

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

The square root of 57414816 is about 7577.2564955926. The cubic root of 57414816 is about 385.7814363981.

The spelling of 57414816 in words is "fifty-seven million, four hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 199357 398714 598071 797428 1196142 1594856 1794213 2392284 3189712 3588426 4784568 6379424 7176852 9569136 14353704 19138272 28707408 57414816