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99814752 = 253217192937
BaseRepresentation
bin1011111001100…
…00110101100000
320221211010002200
411330300311200
5201023033002
613523213200
72321261052
oct574606540
9227733080
1099814752
1151385334
1229517200
13178aa3ab
14d3838d2
158b69b1c
hex5f30d60

99814752 has 288 divisors, whose sum is σ = 336117600. Its totient is φ = 27869184.

The previous prime is 99814751. The next prime is 99814753. The reversal of 99814752 is 25741899.

It is an interprime number because it is at equal distance from previous prime (99814751) and next prime (99814753).

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

It is a junction number, because it is equal to n+sod(n) for n = 99814698 and 99814707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99814751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2697678 + ... + 2697714.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 299814752 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 99814752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

99814752 is an abundant number, since it is smaller than the sum of its proper divisors (236302848).

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

99814752 is a wasteful number, since it uses less digits than its factorization.

99814752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 99814752 is about 9990.7333064195. The cubic root of 99814752 is about 463.8720911800.

The spelling of 99814752 in words is "ninety-nine million, eight hundred fourteen thousand, seven hundred fifty-two".