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57008208 = 24317193677
BaseRepresentation
bin1101100101111…
…0000001010000
310222021022120010
43121132001100
5104043230313
65353514520
71261363455
oct331360120
9128238503
1057008208
112a1a8124
1217112a40
13ba7028a
1477dd82c
1550114c3
hex365e050

57008208 has 80 divisors (see below), whose sum is σ = 164185920. Its totient is φ = 16939008.

The previous prime is 57008197. The next prime is 57008213. The reversal of 57008208 is 80280075.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13666 + ... + 17342.

It is an arithmetic number, because the mean of its divisors is an integer number (2052324).

Almost surely, 257008208 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 57008208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82092960).

57008208 is an abundant number, since it is smaller than the sum of its proper divisors (107177712).

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

57008208 is a wasteful number, since it uses less digits than its factorization.

57008208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 57008208 is about 7550.3780037823. The cubic root of 57008208 is about 384.8685850465.

It can be divided in two parts, 5700 and 8208, that multiplied together give a square (46785600 = 68402).

The spelling of 57008208 in words is "fifty-seven million, eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3677 3876 5168 7354 7752 11031 14708 15504 22062 29416 44124 58832 62509 69863 88248 125018 139726 176496 187527 209589 250036 279452 375054 419178 500072 558904 750108 838356 1000144 1117808 1187671 1500216 1676712 2375342 3000432 3353424 3563013 4750684 7126026 9501368 14252052 19002736 28504104 57008208