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57634896 = 24311176421
BaseRepresentation
bin1101101111011…
…1000001010000
311000110011012210
43123313001100
5104223304041
65415152120
71266613524
oct333670120
9130404183
1057634896
112a595a50
1217375640
13bc2c5b7
147923d84
1550d7016
hex36f7050

57634896 has 80 divisors (see below), whose sum is σ = 172006848. Its totient is φ = 16435200.

The previous prime is 57634883. The next prime is 57634897. The reversal of 57634896 is 69843675.

57634896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57634897) 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 15 ways as a sum of consecutive naturals, for example, 5766 + ... + 12186.

Almost surely, 257634896 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 57634896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86003424).

57634896 is an abundant number, since it is smaller than the sum of its proper divisors (114371952).

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

57634896 is a wasteful number, since it uses less digits than its factorization.

57634896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6454 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 57634896 is about 7591.7650121694. The cubic root of 57634896 is about 386.2737281848.

The spelling of 57634896 in words is "fifty-seven million, six hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 6421 8976 12842 19263 25684 38526 51368 70631 77052 102736 109157 141262 154104 211893 218314 282524 308208 327471 423786 436628 565048 654942 847572 873256 1130096 1200727 1309884 1695144 1746512 2401454 2619768 3390288 3602181 4802908 5239536 7204362 9605816 14408724 19211632 28817448 57634896