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99047520 = 253251113237
BaseRepresentation
bin1011110011101…
…01100001100000
320220101010122200
411321311201200
5200324010040
613454533200
72311614165
oct571654140
9226333580
1099047520
1150a00960
1229207200
131769c100
14d22406c
158a67630
hex5e75860

99047520 has 432 divisors, whose sum is σ = 410063472. Its totient is φ = 21565440.

The previous prime is 99047479. The next prime is 99047549. The reversal of 99047520 is 2574099.

99047520 is a `hidden beast` number, since 9 + 90 + 47 + 520 = 666.

It is a super-2 number, since 2×990475202 = 19620822436300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2676942 + ... + 2676978.

It is an arithmetic number, because the mean of its divisors is an integer number (949221).

Almost surely, 299047520 is an apocalyptic number.

99047520 is a gapful number since it is divisible by the number (90) 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 99047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031736).

99047520 is an abundant number, since it is smaller than the sum of its proper divisors (311015952).

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

99047520 is a wasteful number, since it uses less digits than its factorization.

99047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 99047520 is about 9952.2620544276. The cubic root of 99047520 is about 462.6805061189.

It can be divided in two parts, 9904 and 7520, that added together give a square (17424 = 1322).

The spelling of 99047520 in words is "ninety-nine million, forty-seven thousand, five hundred twenty".