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82709496 = 233210511093
BaseRepresentation
bin1001110111000…
…00101111111000
312202122002002200
410323200233320
5132133200441
612112430200
72023006362
oct473405770
9182562080
1082709496
1142761961
1223848360
131419b73c
14adadd32
1573db7b6
hex4ee0bf8

82709496 has 48 divisors (see below), whose sum is σ = 224423160. Its totient is φ = 27518400.

The previous prime is 82709491. The next prime is 82709509. The reversal of 82709496 is 69490728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82709491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75126 + ... + 76218.

Almost surely, 282709496 is an apocalyptic number.

It is an amenable number.

82709496 is an abundant number, since it is smaller than the sum of its proper divisors (141713664).

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

82709496 is a wasteful number, since it uses less digits than its factorization.

82709496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 82709496 is about 9094.4761256490. The cubic root of 82709496 is about 435.6975569933.

It can be divided in two parts, 8270 and 9496, that added together give a triangular number (17766 = T188).

The spelling of 82709496 in words is "eighty-two million, seven hundred nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1051 1093 2102 2186 3153 3279 4204 4372 6306 6558 8408 8744 9459 9837 12612 13116 18918 19674 25224 26232 37836 39348 75672 78696 1148743 2297486 3446229 4594972 6892458 9189944 10338687 13784916 20677374 27569832 41354748 82709496