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82791296 = 27792401
BaseRepresentation
bin1001110111101…
…00101110000000
312202210020022022
410323310232000
5132143310141
612114301012
72023500020
oct473645600
9182706268
1082791296
1142808365
1223887768
13141c9a43
14add1a80
157405b4b
hex4ef4b80

82791296 has 32 divisors (see below), whose sum is σ = 188500080. Its totient is φ = 35481600.

The previous prime is 82791263. The next prime is 82791301. The reversal of 82791296 is 69219728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 45305 + ... + 47096.

Almost surely, 282791296 is an apocalyptic number.

It is an amenable number.

82791296 is an abundant number, since it is smaller than the sum of its proper divisors (105708784).

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

82791296 is an equidigital number, since it uses as much as digits as its factorization.

82791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92422 (or 92410 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 82791296 is about 9098.9722496555. The cubic root of 82791296 is about 435.8411451702.

The spelling of 82791296 in words is "eighty-two million, seven hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 92401 184802 369604 646807 739208 1293614 1478416 2587228 2956832 5174456 5913664 10348912 11827328 20697824 41395648 82791296