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880996480 = 27572132161
BaseRepresentation
bin110100100000101…
…111000010000000
32021101202020222021
4310200233002000
53301013341410
6223230451224
730555226600
oct6440570200
92241666867
10880996480
11412332771
12207063b14
131106a19c0
1485010c00
1552525eda
hex3482f080

880996480 has 192 divisors, whose sum is σ = 2639672280. Its totient is φ = 278691840.

The previous prime is 880996469. The next prime is 880996499. The reversal of 880996480 is 84699088.

It can be written as a sum of positive squares in 4 ways, for example, as 604373056 + 276623424 = 24584^2 + 16632^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406600 + ... + 408760.

Almost surely, 2880996480 is an apocalyptic number.

880996480 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 880996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319836140).

880996480 is an abundant number, since it is smaller than the sum of its proper divisors (1758675800).

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

880996480 is a wasteful number, since it uses less digits than its factorization.

880996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 880996480 is about 29681.5848633458. The cubic root of 880996480 is about 958.6455436107.

The spelling of 880996480 in words is "eight hundred eighty million, nine hundred ninety-six thousand, four hundred eighty".