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57424688 = 24191091733
BaseRepresentation
bin1101101100001…
…1101100110000
311000001110212022
43123003230300
5104200042223
65410451012
71265046626
oct333035460
9130043768
1057424688
112a462022
1217293a68
13bb87a09
1478ab516
155094ac8
hex36c3b30

57424688 has 40 divisors (see below), whose sum is σ = 118258800. Its totient is φ = 26936064.

The previous prime is 57424687. The next prime is 57424693. The reversal of 57424688 is 88642475.

57424688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57424681) 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, 32270 + ... + 34002.

It is an arithmetic number, because the mean of its divisors is an integer number (2956470).

Almost surely, 257424688 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 57424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59129400).

57424688 is an abundant number, since it is smaller than the sum of its proper divisors (60834112).

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

57424688 is a wasteful number, since it uses less digits than its factorization.

57424688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 57424688 is about 7577.9078907044. The cubic root of 57424688 is about 385.8035457673.

The spelling of 57424688 in words is "fifty-seven million, four hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 76 109 152 218 304 436 872 1733 1744 2071 3466 4142 6932 8284 13864 16568 27728 32927 33136 65854 131708 188897 263416 377794 526832 755588 1511176 3022352 3589043 7178086 14356172 28712344 57424688