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82980288 = 263416007
BaseRepresentation
bin1001111001000…
…10110111000000
312210010211120000
410330202313000
5132220332123
612122320000
72025215016
oct474426700
9183124500
1082980288
1142927356
1223959000
1314264a81
14b0408b6
157441b43
hex4f22dc0

82980288 has 70 divisors (see below), whose sum is σ = 245994936. Its totient is φ = 27658368.

The previous prime is 82980263. The next prime is 82980301. The reversal of 82980288 is 88208928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2820 + ... + 13187.

Almost surely, 282980288 is an apocalyptic number.

It is an amenable number.

82980288 is an abundant number, since it is smaller than the sum of its proper divisors (163014648).

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

82980288 is a wasteful number, since it uses less digits than its factorization.

82980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16031 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 82980288 is about 9109.3516783578. The cubic root of 82980288 is about 436.1725322278.

The spelling of 82980288 in words is "eighty-two million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16007 32014 48021 64028 96042 128056 144063 192084 256112 288126 384168 432189 512224 576252 768336 864378 1024448 1152504 1296567 1536672 1728756 2305008 2593134 3073344 3457512 4610016 5186268 6915024 9220032 10372536 13830048 20745072 27660096 41490144 82980288