Search a number
-
+
57018728 = 23133971381
BaseRepresentation
bin1101100110000…
…0100101101000
310222021211222202
43121200211220
5104044044403
65354035332
71261436234
oct331404550
9128254882
1057018728
112a205018
1217118b48
13ba74cc0
1478035c4
155014688
hex3660968

57018728 has 32 divisors (see below), whose sum is σ = 115507560. Its totient is φ = 26231040.

The previous prime is 57018719. The next prime is 57018743. The reversal of 57018728 is 82781075.

It can be written as a sum of positive squares in 4 ways, for example, as 42745444 + 14273284 = 6538^2 + 3778^2 .

It is a super-2 number, since 2×570187282 = 6502270685475968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57018691 and 57018700.

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 7 ways as a sum of consecutive naturals, for example, 40598 + ... + 41978.

Almost surely, 257018728 is an apocalyptic number.

It is an amenable number.

57018728 is an abundant number, since it is smaller than the sum of its proper divisors (58488832).

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

57018728 is a wasteful number, since it uses less digits than its factorization.

57018728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 57018728 is about 7551.0746255086. The cubic root of 57018728 is about 384.8922574768.

The spelling of 57018728 in words is "fifty-seven million, eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 397 794 1381 1588 2762 3176 5161 5524 10322 11048 17953 20644 35906 41288 71812 143624 548257 1096514 2193028 4386056 7127341 14254682 28509364 57018728