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99351808 = 281737617
BaseRepresentation
bin1011110101111…
…11110100000000
320220221121001121
411322333310000
5200413224213
613505242024
72314322263
oct572776400
9226847047
1099351808
1151099536
1229333314
131777776a
14d2a2cda
158ac788d
hex5ebfd00

99351808 has 72 divisors (see below), whose sum is σ = 216005832. Its totient is φ = 45416448.

The previous prime is 99351803. The next prime is 99351827. The reversal of 99351808 is 80815399.

It can be written as a sum of positive squares in 4 ways, for example, as 19642624 + 79709184 = 4432^2 + 8928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99351803) 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, 160716 + ... + 161332.

It is an arithmetic number, because the mean of its divisors is an integer number (3000081).

Almost surely, 299351808 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 99351808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108002916).

99351808 is an abundant number, since it is smaller than the sum of its proper divisors (116654024).

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

99351808 is a wasteful number, since it uses less digits than its factorization.

99351808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 99351808 is about 9967.5377099864. The cubic root of 99351808 is about 463.1538284115.

The spelling of 99351808 in words is "ninety-nine million, three hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 544 592 617 629 1088 1184 1234 1258 2176 2368 2468 2516 4352 4736 4936 5032 9472 9872 10064 10489 19744 20128 20978 22829 39488 40256 41956 45658 78976 80512 83912 91316 157952 161024 167824 182632 335648 365264 388093 671296 730528 776186 1342592 1461056 1552372 2685184 2922112 3104744 5844224 6209488 12418976 24837952 49675904 99351808