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57116416 = 28731873
BaseRepresentation
bin1101100111100…
…0011100000000
310222110210222211
43121320130000
5104110211131
65400111504
71262324110
oct331703400
9128423884
1057116416
112a271455
1217165594
13baaa5c6
14782b040
1550335b1
hex3678700

57116416 has 36 divisors (see below), whose sum is σ = 130300912. Its totient is φ = 24477696.

The previous prime is 57116401. The next prime is 57116431. The reversal of 57116416 is 61461175.

It is an interprime number because it is at equal distance from previous prime (57116401) and next prime (57116431).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14145 + ... + 17728.

Almost surely, 257116416 is an apocalyptic number.

57116416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57116416 is an abundant number, since it is smaller than the sum of its proper divisors (73184496).

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

57116416 is an equidigital number, since it uses as much as digits as its factorization.

57116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31896 (or 31882 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 57116416 is about 7557.5403406135. The cubic root of 57116416 is about 385.1119391151. Note that the first 3 decimals are identical.

The spelling of 57116416 in words is "fifty-seven million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 31873 63746 127492 223111 254984 446222 509968 892444 1019936 1784888 2039872 3569776 4079744 7139552 8159488 14279104 28558208 57116416