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99805664 = 2571992239
BaseRepresentation
bin1011111001011…
…10100111100000
320221210122122002
411330232213200
5201022240124
613523103132
72321222420
oct574564740
9227718562
1099805664
1151379522
1229511aa8
13178a620a
14d380480
158b670ae
hex5f2e9e0

99805664 has 48 divisors (see below), whose sum is σ = 225792000. Its totient is φ = 42539904.

The previous prime is 99805663. The next prime is 99805697. The reversal of 99805664 is 46650899.

It is a super-2 number, since 2×998056642 = 19922341132961792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99805663) 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, 43457 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 299805664 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 99805664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896000).

99805664 is an abundant number, since it is smaller than the sum of its proper divisors (125986336).

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

99805664 is a wasteful number, since it uses less digits than its factorization.

99805664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 99805664 is about 9990.2784745972. The cubic root of 99805664 is about 463.8580124410.

The spelling of 99805664 in words is "ninety-nine million, eight hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2239 2786 3184 4478 5572 6368 8956 11144 15673 17912 22288 31346 35824 44576 62692 71648 125384 250768 445561 501536 891122 1782244 3118927 3564488 6237854 7128976 12475708 14257952 24951416 49902832 99805664