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57535504 = 2413318923
BaseRepresentation
bin1101101101111…
…0110000010000
311000021002212121
43123132300100
5104212114004
65413104024
71266020665
oct333366020
9130232777
1057535504
112a528304
1217328014
13bbc62a0
1478d9a6c
1550b7854
hex36dec10

57535504 has 40 divisors (see below), whose sum is σ = 123936512. Its totient is φ = 25695360.

The previous prime is 57535501. The next prime is 57535523. The reversal of 57535504 is 40553575.

57535504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57535504.

It is not an unprimeable number, because it can be changed into a prime (57535501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1987 + ... + 10909.

Almost surely, 257535504 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 57535504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61968256).

57535504 is an abundant number, since it is smaller than the sum of its proper divisors (66401008).

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

57535504 is a wasteful number, since it uses less digits than its factorization.

57535504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 34.

The square root of 57535504 is about 7585.2161472169. The cubic root of 57535504 is about 386.0515560191.

The spelling of 57535504 in words is "fifty-seven million, five hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 8923 17846 35692 71384 115999 142768 231998 276613 463996 553226 927992 1106452 1855984 2212904 3595969 4425808 7191938 14383876 28767752 57535504