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53133738 = 23721710631
BaseRepresentation
bin1100101010110…
…0000110101010
310200222110210020
43022230012222
5102100234423
65134501310
71213425600
oct312540652
9120873706
1053133738
1127aa1189
1215964836
13b0148a8
1470b1870
1549e84e3
hex32ac1aa

53133738 has 48 divisors (see below), whose sum is σ = 130901184. Its totient is φ = 14286720.

The previous prime is 53133737. The next prime is 53133757. The reversal of 53133738 is 83733135.

It is a super-2 number, since 2×531337382 = 5646388227705288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53133699 and 53133708.

It is not an unprimeable number, because it can be changed into a prime (53133737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318 + ... + 10313.

It is an arithmetic number, because the mean of its divisors is an integer number (2727108).

Almost surely, 253133738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53133738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65450592).

53133738 is an abundant number, since it is smaller than the sum of its proper divisors (77767446).

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

53133738 is a wasteful number, since it uses less digits than its factorization.

53133738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10660 counting only the distinct ones).

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

The square root of 53133738 is about 7289.2892657652. The cubic root of 53133738 is about 375.9442585619.

The spelling of 53133738 in words is "fifty-three million, one hundred thirty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 10631 21262 31893 63786 74417 148834 180727 223251 361454 446502 520919 542181 1041838 1084362 1265089 1562757 2530178 3125514 3795267 7590534 8855623 17711246 26566869 53133738