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57144976 = 247272889
BaseRepresentation
bin1101100111111…
…1011010010000
310222112021011121
43121333122100
5104112114401
65400452024
71262503300
oct331773220
9128467147
1057144976
112a290959
121717a014
13baba5c5
147837600
15503bca1
hex367f690

57144976 has 30 divisors (see below), whose sum is σ = 128796630. Its totient is φ = 24490368.

The previous prime is 57144961. The next prime is 57144977. The reversal of 57144976 is 67944175.

It can be written as a sum of positive squares in only one way, i.e., 55890576 + 1254400 = 7476^2 + 1120^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57144977) 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, 35661 + ... + 37228.

It is an arithmetic number, because the mean of its divisors is an integer number (4293221).

Almost surely, 257144976 is an apocalyptic number.

57144976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57144976 is an abundant number, since it is smaller than the sum of its proper divisors (71651654).

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

57144976 is a wasteful number, since it uses less digits than its factorization.

57144976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72911 (or 72898 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 57144976 is about 7559.4296081120. The cubic root of 57144976 is about 385.1761177700.

The spelling of 57144976 in words is "fifty-seven million, one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 72889 145778 291556 510223 583112 1020446 1166224 2040892 3571561 4081784 7143122 8163568 14286244 28572488 57144976