Search a number
-
+
82976256 = 2932111637
BaseRepresentation
bin1001111001000…
…01111000000000
312210010122000200
410330201320000
5132220220011
612122245200
72025200166
oct474417000
9183118020
1082976256
1142924320
1223956800
1314262c9c
14b03d236
157440856
hex4f21e00

82976256 has 120 divisors (see below), whose sum is σ = 261405144. Its totient is φ = 25128960.

The previous prime is 82976233. The next prime is 82976263. The reversal of 82976256 is 65267928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49870 + ... + 51506.

Almost surely, 282976256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130702572).

82976256 is an abundant number, since it is smaller than the sum of its proper divisors (178428888).

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

82976256 is a wasteful number, since it uses less digits than its factorization.

82976256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1653 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 82976256 is about 9109.1303646396. The cubic root of 82976256 is about 436.1654675937.

The spelling of 82976256 in words is "eighty-two million, nine hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 1637 2112 2304 2816 3168 3274 4224 4608 4911 5632 6336 6548 8448 9822 12672 13096 14733 16896 18007 19644 25344 26192 29466 36014 39288 50688 52384 54021 58932 72028 78576 104768 108042 117864 144056 157152 162063 209536 216084 235728 288112 314304 324126 419072 432168 471456 576224 628608 648252 838144 864336 942912 1152448 1257216 1296504 1728672 1885824 2304896 2514432 2593008 3457344 3771648 4609792 5186016 6914688 7543296 9219584 10372032 13829376 20744064 27658752 41488128 82976256