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57209012 = 22717313877
BaseRepresentation
bin1101101000111…
…1000010110100
310222122112000022
43122033002310
5104121142022
65402104312
71263161060
oct332170264
9128575008
1057209012
112a324a83
12171ab098
13bb107b3
147852aa0
155050c42
hex368f0b4

57209012 has 48 divisors (see below), whose sum is σ = 125088768. Its totient is φ = 22325760.

The previous prime is 57208999. The next prime is 57209017. The reversal of 57209012 is 21090275.

57209012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×572090122 = 6545742108032288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57209017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12818 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (2606016).

Almost surely, 257209012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57209012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544384).

57209012 is an abundant number, since it is smaller than the sum of its proper divisors (67879756).

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

57209012 is a wasteful number, since it uses less digits than its factorization.

57209012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 57209012 is about 7563.6639269603. The cubic root of 57209012 is about 385.3199386981.

Adding to 57209012 its reverse (21090275), we get a palindrome (78299287).

The spelling of 57209012 in words is "fifty-seven million, two hundred nine thousand, twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1054 2108 3689 3877 7378 7754 14756 15508 27139 54278 65909 108556 120187 131818 240374 263636 461363 480748 841309 922726 1682618 1845452 2043179 3365236 4086358 8172716 14302253 28604506 57209012