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8032094880 = 2535531572011
BaseRepresentation
bin1110111101100000…
…00000101010100000
3202201202210200210120
413132300000222200
5112422204014010
63405003400240
7403020452145
oct73660005240
922652720716
108032094880
1134519a9847
121681b23080
139b009c784
14562a603cc
15320239e70
hex1dec00aa0

8032094880 has 192 divisors, whose sum is σ = 25955572608. Its totient is φ = 2087055360.

The previous prime is 8032094879. The next prime is 8032094897. The reversal of 8032094880 is 884902308.

It is a happy number.

It is a super-2 number, since 2×80320948802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3993075 + ... + 3995085.

It is an arithmetic number, because the mean of its divisors is an integer number (135185274).

Almost surely, 28032094880 is an apocalyptic number.

8032094880 is a gapful number since it is divisible by the number (80) 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 8032094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977786304).

8032094880 is an abundant number, since it is smaller than the sum of its proper divisors (17923477728).

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

8032094880 is a wasteful number, since it uses less digits than its factorization.

8032094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8032094880 is about 89621.9553457745. The cubic root of 8032094880 is about 2002.6710046125.

The spelling of 8032094880 in words is "eight billion, thirty-two million, ninety-four thousand, eight hundred eighty".