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57601331 = 1916631823
BaseRepresentation
bin1101101110111…
…0110100110011
311000101110011122
43123232310303
5104221220311
65414332455
71266413624
oct333566463
9130343148
1057601331
112a572807
121735a12b
13bc1a238
147915a4b
1550cc0db
hex36eed33

57601331 has 8 divisors (see below), whose sum is σ = 60702720. Its totient is φ = 54506952.

The previous prime is 57601309. The next prime is 57601343. The reversal of 57601331 is 13310675.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57601331 is a prime.

It is a super-2 number, since 2×576013312 = 6635826665943122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57601331.

It is not an unprimeable number, because it can be changed into a prime (57601391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30686 + ... + 32508.

It is an arithmetic number, because the mean of its divisors is an integer number (7587840).

Almost surely, 257601331 is an apocalyptic number.

57601331 is a deficient number, since it is larger than the sum of its proper divisors (3101389).

57601331 is a wasteful number, since it uses less digits than its factorization.

57601331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 57601331 is about 7589.5540712218. The cubic root of 57601331 is about 386.1987285100.

The spelling of 57601331 in words is "fifty-seven million, six hundred one thousand, three hundred thirty-one".

Divisors: 1 19 1663 1823 31597 34637 3031649 57601331