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880835472 = 243411241137
BaseRepresentation
bin110100100000000…
…111101110010000
32021101110002010000
4310200013232100
53300443213342
6223223210000
730553656306
oct6440075620
92241402100
10880835472
11412232800
12206ba6900
1311064662a
1484dac276
15524e344c
hex34807b90

880835472 has 300 divisors, whose sum is σ = 2891525868. Its totient is φ = 258508800.

The previous prime is 880835411. The next prime is 880835489. The reversal of 880835472 is 274538088.

It can be written as a sum of positive squares in 2 ways, for example, as 238517136 + 642318336 = 15444^2 + 25344^2 .

It is a super-2 number, since 2×8808354722 = 1551742257466925568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6429388 + ... + 6429524.

Almost surely, 2880835472 is an apocalyptic number.

880835472 is a gapful number since it is divisible by the number (82) 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 880835472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445762934).

880835472 is an abundant number, since it is smaller than the sum of its proper divisors (2010690396).

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

880835472 is a wasteful number, since it uses less digits than its factorization.

880835472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 880835472 is about 29678.8724853219. The cubic root of 880835472 is about 958.5871404241.

The spelling of 880835472 in words is "eight hundred eighty million, eight hundred thirty-five thousand, four hundred seventy-two".