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57876256 = 2531411423
BaseRepresentation
bin1101110011000…
…1111100100000
311000220102022001
43130301330200
5104304020011
65424253344
71301640304
oct334617440
9130812261
1057876256
112a740319
1217471254
13bcb5409
147987d04
1551337c1
hex3731f20

57876256 has 48 divisors (see below), whose sum is σ = 120572928. Its totient is φ = 27302400.

The previous prime is 57876253. The next prime is 57876271. The reversal of 57876256 is 65267875.

57876256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×578762562 = 6699322017155072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57876253) 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, 39961 + ... + 41383.

It is an arithmetic number, because the mean of its divisors is an integer number (2511936).

Almost surely, 257876256 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 57876256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60286464).

57876256 is an abundant number, since it is smaller than the sum of its proper divisors (62696672).

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

57876256 is a wasteful number, since it uses less digits than its factorization.

57876256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 57876256 is about 7607.6445763456. The cubic root of 57876256 is about 386.8121819861.

The spelling of 57876256 in words is "fifty-seven million, eight hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 1423 2542 2846 5084 5692 10168 11384 20336 22768 40672 44113 45536 58343 88226 116686 176452 233372 352904 466744 705808 933488 1411616 1808633 1866976 3617266 7234532 14469064 28938128 57876256