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99329984 = 2613277431
BaseRepresentation
bin1011110101110…
…10011111000000
320220220111010022
411322322133000
5200412024414
613504553012
72314201535
oct572723700
9226814108
1099329984
11510840a6
1229322768
131776a850
14d298d8c
158ac118e
hex5eba7c0

99329984 has 56 divisors (see below), whose sum is σ = 213530688. Its totient is φ = 45573120.

The previous prime is 99329969. The next prime is 99330019. The reversal of 99329984 is 48992399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230249 + ... + 230679.

It is an arithmetic number, because the mean of its divisors is an integer number (3813048).

Almost surely, 299329984 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 99329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106765344).

99329984 is an abundant number, since it is smaller than the sum of its proper divisors (114200704).

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

99329984 is a wasteful number, since it uses less digits than its factorization.

99329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 53.

The square root of 99329984 is about 9966.4428960387. The cubic root of 99329984 is about 463.1199132113.

The spelling of 99329984 in words is "ninety-nine million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 277 416 431 554 832 862 1108 1724 2216 3448 3601 4432 5603 6896 7202 8864 11206 13792 14404 17728 22412 27584 28808 44824 57616 89648 115232 119387 179296 230464 238774 358592 477548 955096 1552031 1910192 3104062 3820384 6208124 7640768 12416248 24832496 49664992 99329984