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57752096 = 251943472
BaseRepresentation
bin1101110001001…
…1101000100000
311000200002222112
43130103220200
5104241031341
65421454452
71300612313
oct334235040
9130602875
1057752096
112a666006
1217411428
13bc70a4c
14795497a
15510baeb
hex3713a20

57752096 has 72 divisors (see below), whose sum is σ = 125128080. Its totient is φ = 26151552.

The previous prime is 57752087. The next prime is 57752099. The reversal of 57752096 is 69025775.

It is not an unprimeable number, because it can be changed into a prime (57752099) 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 11 ways as a sum of consecutive naturals, for example, 1228745 + ... + 1228791.

It is an arithmetic number, because the mean of its divisors is an integer number (1737890).

Almost surely, 257752096 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 57752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62564040).

57752096 is an abundant number, since it is smaller than the sum of its proper divisors (67375984).

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

57752096 is a wasteful number, since it uses less digits than its factorization.

57752096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 57752096 is about 7599.4799822093. The cubic root of 57752096 is about 386.5353788656.

The spelling of 57752096 in words is "fifty-seven million, seven hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 43 47 76 86 94 152 172 188 304 344 376 608 688 752 817 893 1376 1504 1634 1786 2021 2209 3268 3572 4042 4418 6536 7144 8084 8836 13072 14288 16168 17672 26144 28576 32336 35344 38399 41971 64672 70688 76798 83942 94987 153596 167884 189974 307192 335768 379948 614384 671536 759896 1228768 1343072 1519792 1804753 3039584 3609506 7219012 14438024 28876048 57752096