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80882656 = 254321367
BaseRepresentation
bin1001101001000…
…10101111100000
312122012021010221
410310202233200
5131201221111
612005332424
72001330331
oct464425740
9178167127
1080882656
1141724378
1223107114
13139ac07a
14aa56288
15717a371
hex4d22be0

80882656 has 36 divisors (see below), whose sum is σ = 163146312. Its totient is φ = 39471936.

The previous prime is 80882621. The next prime is 80882657. The reversal of 80882656 is 65628808.

It is a happy number.

It is a super-2 number, since 2×808826562 = 13084008083228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80882657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58485 + ... + 59851.

It is an arithmetic number, because the mean of its divisors is an integer number (4531842).

Almost surely, 280882656 is an apocalyptic number.

80882656 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80882656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81573156).

80882656 is an abundant number, since it is smaller than the sum of its proper divisors (82263656).

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

80882656 is a wasteful number, since it uses less digits than its factorization.

80882656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 80882656 is about 8993.4785261321. The cubic root of 80882656 is about 432.4658326668.

The spelling of 80882656 in words is "eighty million, eight hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1367 1376 1849 2734 3698 5468 7396 10936 14792 21872 29584 43744 58781 59168 117562 235124 470248 940496 1880992 2527583 5055166 10110332 20220664 40441328 80882656