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99047424 = 21137347
BaseRepresentation
bin1011110011101…
…01100000000000
320220101010112010
411321311200000
5200324004144
613454532520
72311614000
oct571654000
9226333463
1099047424
1150a00883
1229207140
131769c058
14d224000
158a675b9
hex5e75800

99047424 has 192 divisors, whose sum is σ = 314496000. Its totient is φ = 27697152.

The previous prime is 99047419. The next prime is 99047461. The reversal of 99047424 is 42474099.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2107369 + ... + 2107415.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 299047424 is an apocalyptic number.

99047424 is a gapful number since it is divisible by the number (94) 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 99047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

99047424 is an abundant number, since it is smaller than the sum of its proper divisors (215448576).

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

99047424 is an equidigital number, since it uses as much as digits as its factorization.

99047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 99047424 is about 9952.2572314023. The cubic root of 99047424 is about 462.6803566373.

The spelling of 99047424 in words is "ninety-nine million, forty-seven thousand, four hundred twenty-four".