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99644832 = 25327223307
BaseRepresentation
bin1011111000001…
…11010110100000
320221111111000100
411330013112200
5201002113312
613515422400
72316652500
oct574072640
9227444010
1099644832
1151279701
1229454a00
131784ac51
14d33ba00
158b345dc
hex5f075a0

99644832 has 216 divisors, whose sum is σ = 345080736. Its totient is φ = 27143424.

The previous prime is 99644827. The next prime is 99644843. The reversal of 99644832 is 23844699.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 324423 + ... + 324729.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 299644832 is an apocalyptic number.

99644832 is a gapful number since it is divisible by the number (92) 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 99644832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172540368).

99644832 is an abundant number, since it is smaller than the sum of its proper divisors (245435904).

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

99644832 is a wasteful number, since it uses less digits than its factorization.

99644832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 99644832 is about 9982.2258038976. The cubic root of 99644832 is about 463.6087169003.

The spelling of 99644832 in words is "ninety-nine million, six hundred forty-four thousand, eight hundred thirty-two".