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57406712 = 231123113251
BaseRepresentation
bin1101101011111…
…1010011111000
311000000120012112
43122333103320
5104144003322
65410231452
71264643336
oct332772370
9130016175
1057406712
112a44a570
1217285588
13bb7c78c
1478a4b56
15508e5e2
hex36bf4f8

57406712 has 64 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 24640000.

The previous prime is 57406709. The next prime is 57406729. The reversal of 57406712 is 21760475.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228587 + ... + 228837.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 257406712 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 57406712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

57406712 is an abundant number, since it is smaller than the sum of its proper divisors (66698248).

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

57406712 is a wasteful number, since it uses less digits than its factorization.

57406712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 57406712 is about 7576.7217185271. The cubic root of 57406712 is about 385.7632847543.

The spelling of 57406712 in words is "fifty-seven million, four hundred six thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 113 184 226 251 253 452 502 506 904 1004 1012 1243 2008 2024 2486 2599 2761 4972 5198 5522 5773 9944 10396 11044 11546 20792 22088 23092 28363 28589 46184 56726 57178 63503 113452 114356 127006 226904 228712 254012 311993 508024 623986 652349 1247972 1304698 2495944 2609396 5218792 7175839 14351678 28703356 57406712