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57809296 = 2429314019
BaseRepresentation
bin1101110010000…
…1100110010000
311000210000110001
43130201212100
5104244344141
65423015344
71301241136
oct334414620
9130700401
1057809296
112a6a4a86
121743a554
13bc90aac
14796b756
15511da31
hex3721990

57809296 has 40 divisors (see below), whose sum is σ = 119635200. Its totient is φ = 27000960.

The previous prime is 57809263. The next prime is 57809309. The reversal of 57809296 is 69290875.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12375 + ... + 16393.

It is an arithmetic number, because the mean of its divisors is an integer number (2990880).

Almost surely, 257809296 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 57809296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59817600).

57809296 is an abundant number, since it is smaller than the sum of its proper divisors (61825904).

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

57809296 is a wasteful number, since it uses less digits than its factorization.

57809296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 57809296 is about 7603.2424662114. The cubic root of 57809296 is about 386.6629501558.

The spelling of 57809296 in words is "fifty-seven million, eight hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 4019 7192 8038 14384 16076 32152 64304 116551 124589 233102 249178 466204 498356 932408 996712 1864816 1993424 3613081 7226162 14452324 28904648 57809296