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57136632 = 23371811879
BaseRepresentation
bin1101100111110…
…1010111111000
310222111211201120
43121331113320
5104111333012
65400345240
71262440050
oct331752770
9128454646
1057136632
112a285663
1217175220
13bab6877
147834560
15503958c
hex367d5f8

57136632 has 64 divisors (see below), whose sum is σ = 164236800. Its totient is φ = 16225920.

The previous prime is 57136613. The next prime is 57136661. The reversal of 57136632 is 23663175.

It is a junction number, because it is equal to n+sod(n) for n = 57136593 and 57136602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29469 + ... + 31347.

It is an arithmetic number, because the mean of its divisors is an integer number (2566200).

Almost surely, 257136632 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 57136632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82118400).

57136632 is an abundant number, since it is smaller than the sum of its proper divisors (107100168).

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

57136632 is a wasteful number, since it uses less digits than its factorization.

57136632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2072 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 57136632 is about 7558.8776944729. The cubic root of 57136632 is about 385.1573697470.

The spelling of 57136632 in words is "fifty-seven million, one hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 1879 2172 2534 3758 3801 4344 5068 5637 7516 7602 10136 11274 13153 15032 15204 22548 26306 30408 39459 45096 52612 78918 105224 157836 315672 340099 680198 1020297 1360396 2040594 2380693 2720792 4081188 4761386 7142079 8162376 9522772 14284158 19045544 28568316 57136632