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985936896 = 210327172931
BaseRepresentation
bin111010110001000…
…011010000000000
32112201012210011100
4322301003100000
54004344440041
6241500014400
733301216410
oct7261032000
92481183140
10985936896
11466598a8a
12236231400
13129355119
1494d2a640
155b8546b6
hex3ac43400

985936896 has 528 divisors, whose sum is σ = 3678704640. Its totient is φ = 247726080.

The previous prime is 985936877. The next prime is 985936949. The reversal of 985936896 is 698639589.

It is a super-2 number, since 2×9859368962 = 1944143125788229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31804401 + ... + 31804431.

Almost surely, 2985936896 is an apocalyptic number.

985936896 is a gapful number since it is divisible by the number (96) 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 985936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

985936896 is an abundant number, since it is smaller than the sum of its proper divisors (2692767744).

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

985936896 is a wasteful number, since it uses less digits than its factorization.

985936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 985936896 is about 31399.6320997556. The cubic root of 985936896 is about 995.2901508130.

The spelling of 985936896 in words is "nine hundred eighty-five million, nine hundred thirty-six thousand, eight hundred ninety-six".