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57435196 = 22713295441
BaseRepresentation
bin1101101100011…
…0010000111100
311000002000021111
43123012100330
5104200411241
65411011404
71265122360
oct333062074
9130060244
1057435196
112a469a05
1217299b64
13bb8c730
1478b12a0
155097c81
hex36c643c

57435196 has 48 divisors (see below), whose sum is σ = 127995840. Its totient is φ = 21934080.

The previous prime is 57435173. The next prime is 57435223. The reversal of 57435196 is 69153475.

57435196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7836 + ... + 13276.

It is an arithmetic number, because the mean of its divisors is an integer number (2666580).

Almost surely, 257435196 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 57435196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63997920).

57435196 is an abundant number, since it is smaller than the sum of its proper divisors (70560644).

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

57435196 is a wasteful number, since it uses less digits than its factorization.

57435196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5492 counting only the distinct ones).

The product of its digits is 113400, while the sum is 40.

The square root of 57435196 is about 7578.6011901933. The cubic root of 57435196 is about 385.8270767406.

The spelling of 57435196 in words is "fifty-seven million, four hundred thirty-five thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 5278 5441 10556 10882 21764 38087 70733 76174 141466 152348 157789 282932 315578 495131 631156 990262 1104523 1980524 2051257 2209046 4102514 4418092 8205028 14358799 28717598 57435196