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57608040 = 2335768581
BaseRepresentation
bin1101101111000…
…0011101101000
311000101210101010
43123300131220
5104221424130
65414423520
71266442320
oct333603550
9130353333
1057608040
112a577856
1217361ba0
13bc202c9
147918280
1550ce0b0
hex36f0768

57608040 has 64 divisors (see below), whose sum is σ = 197516160. Its totient is φ = 13167360.

The previous prime is 57608017. The next prime is 57608071. The reversal of 57608040 is 4080675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57607989 and 57608007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33451 + ... + 35130.

It is an arithmetic number, because the mean of its divisors is an integer number (3086190).

Almost surely, 257608040 is an apocalyptic number.

It is an amenable number.

57608040 is an abundant number, since it is smaller than the sum of its proper divisors (139908120).

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

57608040 is a wasteful number, since it uses less digits than its factorization.

57608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68602 (or 68598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57608040 is about 7589.9960474298. The cubic root of 57608040 is about 386.2137218365.

The spelling of 57608040 in words is "fifty-seven million, six hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 68581 137162 205743 274324 342905 411486 480067 548648 685810 822972 960134 1028715 1371620 1440201 1645944 1920268 2057430 2400335 2743240 2880402 3840536 4114860 4800670 5760804 7201005 8229720 9601340 11521608 14402010 19202680 28804020 57608040