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99271296 = 27321737137
BaseRepresentation
bin1011110101011…
…00001010000000
320220210111121200
411322230022000
5200403140141
613503421200
72313535455
oct572541200
9226714550
1099271296
1151043aa3
12292b4800
1317749c17
14d28182c
158aadab6
hex5eac280

99271296 has 192 divisors, whose sum is σ = 312909480. Its totient is φ = 30081024.

The previous prime is 99271273. The next prime is 99271301. The reversal of 99271296 is 69217299.

99271296 is a `hidden beast` number, since 99 + 271 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99201600 + 69696 = 9960^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724540 + ... + 724676.

Almost surely, 299271296 is an apocalyptic number.

99271296 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 99271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156454740).

99271296 is an abundant number, since it is smaller than the sum of its proper divisors (213638184).

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

99271296 is a wasteful number, since it uses less digits than its factorization.

99271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 99271296 is about 9963.4981808600. The cubic root of 99271296 is about 463.0286855174.

The spelling of 99271296 in words is "ninety-nine million, two hundred seventy-one thousand, two hundred ninety-six".