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82941792 = 2535411597
BaseRepresentation
bin1001111000110…
…01011101100000
312210001212202020
410330121131200
5132213114132
612121421440
72024664543
oct474313540
9183055666
1082941792
114290043a
122393a880
13142503ab
14b03085a
15743552c
hex4f19760

82941792 has 48 divisors (see below), whose sum is σ = 218261232. Its totient is φ = 27578880.

The previous prime is 82941791. The next prime is 82941809. The reversal of 82941792 is 29714928.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82941791) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51138 + ... + 52734.

It is an arithmetic number, because the mean of its divisors is an integer number (4547109).

Almost surely, 282941792 is an apocalyptic number.

It is an amenable number.

82941792 is an abundant number, since it is smaller than the sum of its proper divisors (135319440).

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

82941792 is a wasteful number, since it uses less digits than its factorization.

82941792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2143 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 82941792 is about 9107.2384398345. The cubic root of 82941792 is about 436.1050724515.

The spelling of 82941792 in words is "eighty-two million, nine hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 541 1082 1597 1623 2164 3194 3246 4328 4791 6388 6492 8656 9582 12776 12984 17312 19164 25552 25968 38328 51104 51936 76656 153312 863977 1727954 2591931 3455908 5183862 6911816 10367724 13823632 20735448 27647264 41470896 82941792