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99812432 = 2429892417
BaseRepresentation
bin1011111001100…
…00010001010000
320221210222220202
411330300101100
5201022444212
613523154332
72321251226
oct574602120
9227728822
1099812432
1151383615
12295159a8
13178a9315
14d382b16
158b690c2
hex5f30450

99812432 has 40 divisors (see below), whose sum is σ = 202386600. Its totient is φ = 47624192.

The previous prime is 99812431. The next prime is 99812441. The reversal of 99812432 is 23421899.

It can be written as a sum of positive squares in 4 ways, for example, as 27290176 + 72522256 = 5224^2 + 8516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99812431) 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 7 ways as a sum of consecutive naturals, for example, 40088 + ... + 42504.

It is an arithmetic number, because the mean of its divisors is an integer number (5059665).

Almost surely, 299812432 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 99812432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101193300).

99812432 is an abundant number, since it is smaller than the sum of its proper divisors (102574168).

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

99812432 is a wasteful number, since it uses less digits than its factorization.

99812432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2537 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 99812432 is about 9990.6171981515. The cubic root of 99812432 is about 463.8684972169.

The spelling of 99812432 in words is "ninety-nine million, eight hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 1424 2417 2581 4834 5162 9668 10324 19336 20648 38672 41296 70093 140186 215113 280372 430226 560744 860452 1121488 1720904 3441808 6238277 12476554 24953108 49906216 99812432