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99008384 = 271077229
BaseRepresentation
bin1011110011010…
…11111110000000
320220022010222012
411321223332000
5200321232014
613454032052
72311362116
oct571537600
9226263865
1099008384
1150984512
12291a8628
1317687357
14d213ab6
158a5ac3e
hex5e6bf80

99008384 has 32 divisors (see below), whose sum is σ = 199114200. Its totient is φ = 49034752.

The previous prime is 99008369. The next prime is 99008401. The reversal of 99008384 is 48380099.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10082 + ... + 17310.

Almost surely, 299008384 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 99008384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99557100).

99008384 is an abundant number, since it is smaller than the sum of its proper divisors (100105816).

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

99008384 is a wasteful number, since it uses less digits than its factorization.

99008384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 99008384 is about 9950.2956739988. The cubic root of 99008384 is about 462.6195594483.

The spelling of 99008384 in words is "ninety-nine million, eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 7229 13696 14458 28916 57832 115664 231328 462656 773503 925312 1547006 3094012 6188024 12376048 24752096 49504192 99008384