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99639264 = 2532114919
BaseRepresentation
bin1011111000001…
…01111111100000
320221111012101010
411330011333200
5201001424024
613515340520
72316630324
oct574057740
9227435333
1099639264
11512754aa
1229451740
131784855a
14d339984
158b32b29
hex5f05fe0

99639264 has 48 divisors (see below), whose sum is σ = 262846080. Its totient is φ = 33048960.

The previous prime is 99639257. The next prime is 99639269. The reversal of 99639264 is 46293699.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99639269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17797 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (5475960).

Almost surely, 299639264 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 99639264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131423040).

99639264 is an abundant number, since it is smaller than the sum of its proper divisors (163206816).

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

99639264 is a wasteful number, since it uses less digits than its factorization.

99639264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5135 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 99639264 is about 9981.9469042868. The cubic root of 99639264 is about 463.6000814920.

The spelling of 99639264 in words is "ninety-nine million, six hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 4919 5064 6752 9838 10128 14757 19676 20256 29514 39352 59028 78704 118056 157408 236112 472224 1037909 2075818 3113727 4151636 6227454 8303272 12454908 16606544 24909816 33213088 49819632 99639264