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990930528 = 253272234371
BaseRepresentation
bin111011000100000…
…110011001100000
32120001121111010200
4323010012121200
54012134234103
6242155025200
733361525200
oct7304063140
92501544120
10990930528
11469399855
12237a3b200
1312a3b3033
149586a400
155bede0a3
hex3b106660

990930528 has 432 divisors, whose sum is σ = 3549401856. Its totient is φ = 260789760.

The previous prime is 990930511. The next prime is 990930587. The reversal of 990930528 is 825039099.

990930528 is a `hidden beast` number, since 9 + 90 + 9 + 30 + 528 = 666.

It is a super-2 number, since 2×9909305282 = 1963886622644717568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13956733 + ... + 13956803.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2990930528 is an apocalyptic number.

990930528 is a gapful number since it is divisible by the number (98) 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 990930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774700928).

990930528 is an abundant number, since it is smaller than the sum of its proper divisors (2558471328).

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

990930528 is a wasteful number, since it uses less digits than its factorization.

990930528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 990930528 is about 31479.0490326503. The cubic root of 990930528 is about 996.9676568560.

The spelling of 990930528 in words is "nine hundred ninety million, nine hundred thirty thousand, five hundred twenty-eight".