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57102468 = 22323313661
BaseRepresentation
bin1101100111010…
…1000010000100
310222110002212020
43121311002010
5104104234333
65355523140
71262235333
oct331650204
9128402766
1057102468
112a261a25
12171594b0
13baa4157
147825d1a
15502e3b3
hex3675084

57102468 has 48 divisors (see below), whose sum is σ = 139687296. Its totient is φ = 18120960.

The previous prime is 57102457. The next prime is 57102469. The reversal of 57102468 is 86420175.

It is not an unprimeable number, because it can be changed into a prime (57102469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86058 + ... + 86718.

It is an arithmetic number, because the mean of its divisors is an integer number (2910152).

Almost surely, 257102468 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 57102468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69843648).

57102468 is an abundant number, since it is smaller than the sum of its proper divisors (82584828).

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

57102468 is a wasteful number, since it uses less digits than its factorization.

57102468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57102468 is about 7556.6174972669. The cubic root of 57102468 is about 385.0805880663.

The spelling of 57102468 in words is "fifty-seven million, one hundred two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 313 626 661 939 1252 1322 1878 1983 2644 3756 3966 7199 7932 14398 15203 21597 28796 30406 43194 45609 60812 86388 91218 182436 206893 413786 620679 827572 1241358 2482716 4758539 9517078 14275617 19034156 28551234 57102468