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53128536 = 23317197661
BaseRepresentation
bin1100101010101…
…0110101011000
310200222012122120
43022222311120
5102100103121
65134421240
71213404456
oct312526530
9120865576
1053128536
1127a9828a
1215961820
13b012406
1470ad9d6
1549e6bc6
hex32aad58

53128536 has 64 divisors (see below), whose sum is σ = 141562080. Its totient is φ = 16558080.

The previous prime is 53128529. The next prime is 53128561. The reversal of 53128536 is 63582135.

53128536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53128497 and 53128506.

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, 80046 + ... + 80706.

Almost surely, 253128536 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 53128536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70781040).

53128536 is an abundant number, since it is smaller than the sum of its proper divisors (88433544).

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

53128536 is a wasteful number, since it uses less digits than its factorization.

53128536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 53128536 is about 7288.9324321193. The cubic root of 53128536 is about 375.9319893589.

The spelling of 53128536 in words is "fifty-three million, one hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 197 204 394 408 591 661 788 1182 1322 1576 1983 2364 2644 3349 3966 4728 5288 6698 7932 10047 11237 13396 15864 20094 22474 26792 33711 40188 44948 67422 80376 89896 130217 134844 260434 269688 390651 520868 781302 1041736 1562604 2213689 3125208 4427378 6641067 8854756 13282134 17709512 26564268 53128536