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57682344 = 23323831259
BaseRepresentation
bin1101110000001…
…0100110101000
311000112120022010
43130002212220
5104231313334
65420155520
71300202046
oct334024650
9130476263
1057682344
112a618665
1217398ba0
13bc48085
147937396
1550e60e9
hex37029a8

57682344 has 64 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 18155456.

The previous prime is 57682327. The next prime is 57682349. The reversal of 57682344 is 44328675.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57682349) 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, 45187 + ... + 46445.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 257682344 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 57682344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

57682344 is an abundant number, since it is smaller than the sum of its proper divisors (94727256).

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

57682344 is a wasteful number, since it uses less digits than its factorization.

57682344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 57682344 is about 7594.8893342826. The cubic root of 57682344 is about 386.3796992194.

The spelling of 57682344 in words is "fifty-seven million, six hundred eighty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 498 552 664 996 1259 1909 1992 2518 3777 3818 5036 5727 7554 7636 10072 11454 15108 15272 22908 28957 30216 45816 57914 86871 104497 115828 173742 208994 231656 313491 347484 417988 626982 694968 835976 1253964 2403431 2507928 4806862 7210293 9613724 14420586 19227448 28841172 57682344