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99408624 = 24371911549
BaseRepresentation
bin1011110110011…
…01101011110000
320221001110222220
411323031223300
5200422033444
613510401040
72314650030
oct573155360
9227043886
1099408624
1151128197
1229360180
1317797593
14d2b98c0
158ad9619
hex5ecdaf0

99408624 has 80 divisors (see below), whose sum is σ = 295219200. Its totient is φ = 28235520.

The previous prime is 99408613. The next prime is 99408629. The reversal of 99408624 is 42680499.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99408629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63402 + ... + 64950.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 299408624 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 99408624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

99408624 is an abundant number, since it is smaller than the sum of its proper divisors (195810576).

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

99408624 is a wasteful number, since it uses less digits than its factorization.

99408624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 99408624 is about 9970.3873545615. The cubic root of 99408624 is about 463.2420990190.

The spelling of 99408624 in words is "ninety-nine million, four hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 1549 2292 2674 3056 3098 4011 4584 4647 5348 6196 8022 9168 9294 10696 10843 12392 16044 18588 21392 21686 24784 32088 32529 37176 43372 64176 65058 74352 86744 130116 173488 260232 295859 520464 591718 887577 1183436 1775154 2071013 2366872 3550308 4142026 4733744 6213039 7100616 8284052 12426078 14201232 16568104 24852156 33136208 49704312 99408624