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99686288 = 24133712953
BaseRepresentation
bin1011111000100…
…01011110010000
320221120120212202
411330101132100
5201004430123
613520342332
72320214402
oct574213620
9227516782
1099686288
11512a7869
12294749a8
1317863a90
14d34cb72
158b41a28
hex5f11790

99686288 has 40 divisors (see below), whose sum is σ = 213637368. Its totient is φ = 44762112.

The previous prime is 99686273. The next prime is 99686309. The reversal of 99686288 is 88268699.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 96196864 = 1868^2 + 9808^2 .

It is an unprimeable number.

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, 1220 + ... + 14172.

Almost surely, 299686288 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 99686288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106818684).

99686288 is an abundant number, since it is smaller than the sum of its proper divisors (113951080).

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

99686288 is a wasteful number, since it uses less digits than its factorization.

99686288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13005 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 99686288 is about 9984.3020787634. The cubic root of 99686288 is about 463.6730008772.

The spelling of 99686288 in words is "ninety-nine million, six hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 12953 25906 51812 103624 168389 207248 336778 479261 673556 958522 1347112 1917044 2694224 3834088 6230393 7668176 12460786 24921572 49843144 99686288