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57420576 = 253422153
BaseRepresentation
bin1101101100001…
…0101100100000
311000001021020000
43123002230200
5104144424301
65410420000
71265031633
oct333025440
9130037200
1057420576
112a459a24
1217291600
13bb85b95
1478a9c1a
155093786
hex36c2b20

57420576 has 60 divisors (see below), whose sum is σ = 168879942. Its totient is φ = 19139328.

The previous prime is 57420569. The next prime is 57420589. The reversal of 57420576 is 67502475.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 810000 = 7524^2 + 900^2 .

It is a super-3 number, since 3×574205763 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57420576.

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 9 ways as a sum of consecutive naturals, for example, 8485 + ... + 13668.

Almost surely, 257420576 is an apocalyptic number.

It is an amenable number.

57420576 is an abundant number, since it is smaller than the sum of its proper divisors (111459366).

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

57420576 is a wasteful number, since it uses less digits than its factorization.

57420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57420576 is about 7577.6365708577. The cubic root of 57420576 is about 385.7943368242.

The spelling of 57420576 in words is "fifty-seven million, four hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 22153 44306 66459 88612 132918 177224 199377 265836 354448 398754 531672 598131 708896 797508 1063344 1196262 1595016 1794393 2126688 2392524 3190032 3588786 4785048 6380064 7177572 9570096 14355144 19140192 28710288 57420576