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99509312 = 267389571
BaseRepresentation
bin1011110111001…
…10010001000000
320221020121010002
411323212101000
5200433244222
613512455132
72315546420
oct573462100
9227217102
1099509312
1151196901
12293aa4a8
1317801366
14d304480
158b09392
hex5ee6440

99509312 has 56 divisors (see below), whose sum is σ = 226649280. Its totient is φ = 42462720.

The previous prime is 99509299. The next prime is 99509329. The reversal of 99509312 is 21390599.

It is a tau number, because it is divible by the number of its divisors (56).

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, 173987 + ... + 174557.

Almost surely, 299509312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640).

99509312 is an abundant number, since it is smaller than the sum of its proper divisors (127139968).

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

99509312 is a wasteful number, since it uses less digits than its factorization.

99509312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 99509312 is about 9975.4354290928. The cubic root of 99509312 is about 463.3984475654.

The spelling of 99509312 in words is "ninety-nine million, five hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 389 448 571 778 1142 1556 2284 2723 3112 3997 4568 5446 6224 7994 9136 10892 12448 15988 18272 21784 24896 31976 36544 43568 63952 87136 127904 174272 222119 255808 444238 888476 1554833 1776952 3109666 3553904 6219332 7107808 12438664 14215616 24877328 49754656 99509312