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99630816 = 2531636367
BaseRepresentation
bin1011111000000…
…11111011100000
320221110202210020
411330003323200
5201001141231
613515233440
72316563565
oct574037340
9227422706
1099630816
115126a11a
1229448880
131784475c
14d33686c
158b30396
hex5f03ee0

99630816 has 48 divisors (see below), whose sum is σ = 263176704. Its totient is φ = 33001344.

The previous prime is 99630799. The next prime is 99630823. The reversal of 99630816 is 61803699.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12465 + ... + 18831.

It is an arithmetic number, because the mean of its divisors is an integer number (5482848).

Almost surely, 299630816 is an apocalyptic number.

99630816 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 99630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131588352).

99630816 is an abundant number, since it is smaller than the sum of its proper divisors (163545888).

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

99630816 is a wasteful number, since it uses less digits than its factorization.

99630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 99630816 is about 9981.5237313749. The cubic root of 99630816 is about 463.5869788789.

The spelling of 99630816 in words is "ninety-nine million, six hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 6367 7824 12734 15648 19101 25468 38202 50936 76404 101872 152808 203744 305616 611232 1037821 2075642 3113463 4151284 6226926 8302568 12453852 16605136 24907704 33210272 49815408 99630816