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57875730 = 235111091609
BaseRepresentation
bin1101110011000…
…1110100010010
311000220101120120
43130301310102
5104304010410
65424251110
71301635623
oct334616422
9130811516
1057875730
112a73a990
1217470a96
13bcb50c3
147987a4a
155133570
hex3731d12

57875730 has 64 divisors (see below), whose sum is σ = 153014400. Its totient is φ = 13893120.

The previous prime is 57875707. The next prime is 57875731. The reversal of 57875730 is 3757875.

57875730 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 (57875731) 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 31 ways as a sum of consecutive naturals, for example, 35166 + ... + 36774.

It is an arithmetic number, because the mean of its divisors is an integer number (2390850).

Almost surely, 257875730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57875730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507200).

57875730 is an abundant number, since it is smaller than the sum of its proper divisors (95138670).

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

57875730 is a wasteful number, since it uses less digits than its factorization.

57875730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739.

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 57875730 is about 7607.6100057771. The cubic root of 57875730 is about 386.8110101537.

The spelling of 57875730 in words is "fifty-seven million, eight hundred seventy-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1609 1635 2398 3218 3270 3597 4827 5995 7194 8045 9654 11990 16090 17699 17985 24135 35398 35970 48270 53097 88495 106194 175381 176990 265485 350762 526143 530970 876905 1052286 1753810 1929191 2630715 3858382 5261430 5787573 9645955 11575146 19291910 28937865 57875730