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99865344 = 283177649
BaseRepresentation
bin1011111001111…
…01001100000000
320221220200111110
411330331030000
5201031142334
613524243320
72321561415
oct574751400
9227820443
1099865344
115140a347
1229540540
13178c7427
14d39810c
158b79ae9
hex5f3d300

99865344 has 72 divisors (see below), whose sum is σ = 281458800. Its totient is φ = 31326208.

The previous prime is 99865343. The next prime is 99865411. The reversal of 99865344 is 44356899.

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

It is a junction number, because it is equal to n+sod(n) for n = 99865293 and 99865302.

It is not an unprimeable number, because it can be changed into a prime (99865343) 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 7 ways as a sum of consecutive naturals, for example, 9232 + ... + 16880.

It is an arithmetic number, because the mean of its divisors is an integer number (3909150).

Almost surely, 299865344 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 99865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140729400).

99865344 is an abundant number, since it is smaller than the sum of its proper divisors (181593456).

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

99865344 is a wasteful number, since it uses less digits than its factorization.

99865344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7671 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 99865344 is about 9993.2649319429. The cubic root of 99865344 is about 463.9504505155.

The spelling of 99865344 in words is "ninety-nine million, eight hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 7649 13056 15298 22947 30596 45894 61192 91788 122384 130033 183576 244768 260066 367152 390099 489536 520132 734304 780198 979072 1040264 1468608 1560396 1958144 2080528 2937216 3120792 4161056 5874432 6241584 8322112 12483168 16644224 24966336 33288448 49932672 99865344