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57638605 = 516976793
BaseRepresentation
bin1101101111011…
…1111011001101
311000110100022011
43123313323031
5104223413410
65415221221
71266630403
oct333677315
9130410264
1057638605
112a598812
1217377811
13bc311ab
147925473
1550d818a
hex36f7ecd

57638605 has 8 divisors (see below), whose sum is σ = 69217272. Its totient is φ = 46076928.

The previous prime is 57638599. The next prime is 57638611. The reversal of 57638605 is 50683675.

It is an interprime number because it is at equal distance from previous prime (57638599) and next prime (57638611).

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 49378729 = 2874^2 + 7027^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57638605 - 23 = 57638597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5089 + ... + 11881.

It is an arithmetic number, because the mean of its divisors is an integer number (8652159).

Almost surely, 257638605 is an apocalyptic number.

It is an amenable number.

57638605 is a deficient number, since it is larger than the sum of its proper divisors (11578667).

57638605 is a wasteful number, since it uses less digits than its factorization.

57638605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 57638605 is about 7592.0092860849. The cubic root of 57638605 is about 386.2820140130.

The spelling of 57638605 in words is "fifty-seven million, six hundred thirty-eight thousand, six hundred five".

Divisors: 1 5 1697 6793 8485 33965 11527721 57638605