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99446016 = 283314177
BaseRepresentation
bin1011110110101…
…10110100000000
320221010101021210
411323112310000
5200424233031
613511250120
72315164035
oct573266400
9227111253
1099446016
115115329a
1229379940
13177ab5c7
14d2c938c
158ae5746
hex5ed6d00

99446016 has 72 divisors (see below), whose sum is σ = 273274624. Its totient is φ = 32071680.

The previous prime is 99445987. The next prime is 99446029. The reversal of 99446016 is 61064499.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21720 + ... + 25896.

Almost surely, 299446016 is an apocalyptic number.

99446016 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 99446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136637312).

99446016 is an abundant number, since it is smaller than the sum of its proper divisors (173828608).

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

99446016 is a wasteful number, since it uses less digits than its factorization.

99446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 99446016 is about 9972.2623310862. The cubic root of 99446016 is about 463.3001737162.

The spelling of 99446016 in words is "ninety-nine million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 4177 5952 7936 8354 11904 12531 16708 23808 25062 33416 50124 66832 100248 129487 133664 200496 258974 267328 388461 400992 517948 534656 776922 801984 1035896 1069312 1553844 1603968 2071792 3107688 3207936 4143584 6215376 8287168 12430752 16574336 24861504 33148672 49723008 99446016