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57009888 = 25321315227
BaseRepresentation
bin1101100101111…
…0011011100000
310222021101212100
43121132123200
5104043304023
65353530400
71261401405
oct331363340
9128241770
1057009888
112a1a9411
1217113a00
13ba70c80
1478002ac
155011c43
hex365e6e0

57009888 has 72 divisors (see below), whose sum is σ = 174604248. Its totient is φ = 17540352.

The previous prime is 57009863. The next prime is 57009913. The reversal of 57009888 is 88890075.

It is an interprime number because it is at equal distance from previous prime (57009863) and next prime (57009913).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 11357.

It is an arithmetic number, because the mean of its divisors is an integer number (2425059).

Almost surely, 257009888 is an apocalyptic number.

It is an amenable number.

57009888 is an abundant number, since it is smaller than the sum of its proper divisors (117594360).

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

57009888 is a wasteful number, since it uses less digits than its factorization.

57009888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15256 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 57009888 is about 7550.4892556708. The cubic root of 57009888 is about 384.8723656300.

The spelling of 57009888 in words is "fifty-seven million, nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15227 30454 45681 60908 91362 121816 137043 182724 197951 243632 274086 365448 395902 487264 548172 593853 730896 791804 1096344 1187706 1461792 1583608 1781559 2192688 2375412 3167216 3563118 4385376 4750824 6334432 7126236 9501648 14252472 19003296 28504944 57009888