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99927264 = 2534722147
BaseRepresentation
bin1011111010011…
…00010011100000
320222000211102210
411331030103200
5201040133024
613525442120
72322240063
oct575142340
9228024383
1099927264
1151451918
1229570340
1317919678
14d3b28da
158b8d129
hex5f4c4e0

99927264 has 48 divisors (see below), whose sum is σ = 267902208. Its totient is φ = 32598912.

The previous prime is 99927263. The next prime is 99927271. The reversal of 99927264 is 46272999.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99927263) by changing a digit.

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, 6562 + ... + 15585.

It is an arithmetic number, because the mean of its divisors is an integer number (5581296).

Almost surely, 299927264 is an apocalyptic number.

99927264 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

99927264 is an abundant number, since it is smaller than the sum of its proper divisors (167974944).

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

99927264 is a wasteful number, since it uses less digits than its factorization.

99927264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22207 (or 22199 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 99927264 is about 9996.3625384437. The cubic root of 99927264 is about 464.0463191968.

The spelling of 99927264 in words is "ninety-nine million, nine hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 22147 44294 66441 88588 132882 177176 265764 354352 531528 708704 1040909 1063056 2081818 2126112 3122727 4163636 6245454 8327272 12490908 16654544 24981816 33309088 49963632 99927264