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83875264 = 2611210831
BaseRepresentation
bin1001111111111…
…01010111000000
312211211022020021
410333331113000
5132433002024
612153423224
72035633204
oct477752700
9184738207
1083875264
1143388800
122410ab14
13144b9245
14b1d4b04
15756bde4
hex4ffd5c0

83875264 has 42 divisors (see below), whose sum is σ = 182963312. Its totient is φ = 38121600.

The previous prime is 83875261. The next prime is 83875277. The reversal of 83875264 is 46257838.

It is a super-2 number, since 2×838752642 = 14070119822139392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83875264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83875261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2329 + ... + 13159.

Almost surely, 283875264 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 83875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91481656).

83875264 is an abundant number, since it is smaller than the sum of its proper divisors (99088048).

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

83875264 is a wasteful number, since it uses less digits than its factorization.

83875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10844 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 83875264 is about 9158.3439551045. The cubic root of 83875264 is about 437.7350273521.

The spelling of 83875264 in words is "eighty-three million, eight hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 10831 21662 43324 86648 119141 173296 238282 346592 476564 693184 953128 1310551 1906256 2621102 3812512 5242204 7625024 10484408 20968816 41937632 83875264