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80899488 = 25322571093
BaseRepresentation
bin1001101001001…
…10110110100000
312122020010020100
410310212312200
5131202240423
612005542400
72001430365
oct464466640
9178203210
1080899488
1141735a8a
1223114a00
13139b6927
14aa5c46c
157180343
hex4d26da0

80899488 has 72 divisors (see below), whose sum is σ = 231164388. Its totient is φ = 26836992.

The previous prime is 80899457. The next prime is 80899493. The reversal of 80899488 is 88499808.

80899488 is a `hidden beast` number, since 80 + 89 + 9 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 30603024 = 7092^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 73470 + ... + 74562.

Almost surely, 280899488 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 80899488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115582194).

80899488 is an abundant number, since it is smaller than the sum of its proper divisors (150264900).

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

80899488 is a wasteful number, since it uses less digits than its factorization.

80899488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 80899488 is about 8994.4142666435. The cubic root of 80899488 is about 432.4958298684.

The spelling of 80899488 in words is "eighty million, eight hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1093 1542 2056 2186 2313 3084 3279 4112 4372 4626 6168 6558 8224 8744 9252 9837 12336 13116 17488 18504 19674 24672 26232 34976 37008 39348 52464 74016 78696 104928 157392 280901 314784 561802 842703 1123604 1685406 2247208 2528109 3370812 4494416 5056218 6741624 8988832 10112436 13483248 20224872 26966496 40449744 80899488