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57011364 = 2234175961
BaseRepresentation
bin1101100101111…
…0110010100100
310222021110220000
43121132302210
5104043330424
65353541300
71261405614
oct331366244
9128243800
1057011364
112a1aa533
1217114830
13ba71847
147800a44
1550123c9
hex365eca4

57011364 has 30 divisors (see below), whose sum is σ = 149039814. Its totient is φ = 19003680.

The previous prime is 57011363. The next prime is 57011401. The reversal of 57011364 is 46311075.

It can be written as a sum of positive squares in only one way, i.e., 56881764 + 129600 = 7542^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57011363) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87657 + ... + 88304.

Almost surely, 257011364 is an apocalyptic number.

57011364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57011364 is an abundant number, since it is smaller than the sum of its proper divisors (92028450).

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

57011364 is a wasteful number, since it uses less digits than its factorization.

57011364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175977 (or 175966 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57011364 is about 7550.5869970486. The cubic root of 57011364 is about 384.8756870813.

It can be divided in two parts, 57011 and 364, that added together give a palindrome (57375).

The spelling of 57011364 in words is "fifty-seven million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 175961 351922 527883 703844 1055766 1583649 2111532 3167298 4750947 6334596 9501894 14252841 19003788 28505682 57011364