Search a number
-
+
57335096 = 23721311251
BaseRepresentation
bin1101101010110…
…1110100111000
310222212220222002
43122231310320
5104134210341
65404520132
71264224500
oct332556470
9128786862
1057335096
112a400785
1217250048
13bb55cc0
147886a00
15507829b
hex36add38

57335096 has 48 divisors (see below), whose sum is σ = 134686440. Its totient is φ = 22680000.

The previous prime is 57335071. The next prime is 57335111. The reversal of 57335096 is 69053375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530 + ... + 10721.

Almost surely, 257335096 is an apocalyptic number.

57335096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57335096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67343220).

57335096 is an abundant number, since it is smaller than the sum of its proper divisors (77351344).

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

57335096 is a wasteful number, since it uses less digits than its factorization.

57335096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 38.

The square root of 57335096 is about 7571.9941891156. The cubic root of 57335096 is about 385.6028022443.

The spelling of 57335096 in words is "fifty-seven million, three hundred thirty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 11251 22502 45004 78757 90008 146263 157514 292526 315028 551299 585052 630056 1023841 1102598 1170104 2047682 2205196 4095364 4410392 7166887 8190728 14333774 28667548 57335096