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82249792 = 269713249
BaseRepresentation
bin1001110011100…
…00100001000000
312201202201111121
410321300201000
5132023443132
612054522024
72016053212
oct471604100
9181681447
1082249792
1142478539
1223666314
131406a421
14acd05b2
15734a497
hex4e70840

82249792 has 28 divisors (see below), whose sum is σ = 164909500. Its totient is φ = 40697856.

The previous prime is 82249787. The next prime is 82249793. The reversal of 82249792 is 29794228.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 53348416 = 5376^2 + 7304^2 .

It is not an unprimeable number, because it can be changed into a prime (82249793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 12832.

It is an arithmetic number, because the mean of its divisors is an integer number (5889625).

Almost surely, 282249792 is an apocalyptic number.

It is an amenable number.

82249792 is an abundant number, since it is smaller than the sum of its proper divisors (82659708).

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

82249792 is a wasteful number, since it uses less digits than its factorization.

82249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13348 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 82249792 is about 9069.1671061901. The cubic root of 82249792 is about 434.8888463962. Note that the first 4 decimals are identical.

The spelling of 82249792 in words is "eighty-two million, two hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 13249 26498 52996 105992 211984 423968 847936 1285153 2570306 5140612 10281224 20562448 41124896 82249792