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80876256 = 25359109131
BaseRepresentation
bin1001101001000…
…01001011100000
312122011221100220
410310201023200
5131201020011
612005243040
72001302556
oct464411340
9178157326
1080876256
114171a58a
1223103480
13139a9196
14aa53bd6
157178506
hex4d212e0

80876256 has 96 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 26058240.

The previous prime is 80876233. The next prime is 80876261. The reversal of 80876256 is 65267808.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617311 + ... + 617441.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 280876256 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 80876256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

80876256 is an abundant number, since it is smaller than the sum of its proper divisors (138666144).

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

80876256 is a wasteful number, since it uses less digits than its factorization.

80876256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 80876256 is about 8993.1227057124. The cubic root of 80876256 is about 432.4544257947.

The spelling of 80876256 in words is "eighty million, eight hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 109 118 131 177 218 236 262 327 354 393 436 472 524 654 708 786 872 944 1048 1308 1416 1572 1744 1888 2096 2616 2832 3144 3488 4192 5232 5664 6288 6431 7729 10464 12576 12862 14279 15458 19293 23187 25724 28558 30916 38586 42837 46374 51448 57116 61832 77172 85674 92748 102896 114232 123664 154344 171348 185496 205792 228464 247328 308688 342696 370992 456928 617376 685392 741984 842461 1370784 1684922 2527383 3369844 5054766 6739688 10109532 13479376 20219064 26958752 40438128 80876256