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99042048 = 283372389
BaseRepresentation
bin1011110011101…
…00001100000000
320220100212011000
411321310030000
5200323321143
613454452000
72311562220
oct571641400
9226325130
1099042048
11509a7836
1229204000
1317699781
14d222080
158a65bd3
hex5e74300

99042048 has 288 divisors, whose sum is σ = 353203200. Its totient is φ = 26763264.

The previous prime is 99041977. The next prime is 99042049. The reversal of 99042048 is 84024099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (99042049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1112788 + ... + 1112876.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 299042048 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 99042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

99042048 is an abundant number, since it is smaller than the sum of its proper divisors (254161152).

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

99042048 is a wasteful number, since it uses less digits than its factorization.

99042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 99042048 is about 9951.9871382554. The cubic root of 99042048 is about 462.6719855139.

The spelling of 99042048 in words is "ninety-nine million, forty-two thousand, forty-eight".