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99333376 = 28616361
BaseRepresentation
bin1011110101110…
…11010100000000
320220220122202221
411322323110000
5200412132001
613505020424
72314214452
oct572732400
9226818687
1099333376
11510866aa
1229324714
131776c25c
14d29a2d2
158ac21a1
hex5ebb500

99333376 has 36 divisors (see below), whose sum is σ = 201560884. Its totient is φ = 48844800.

The previous prime is 99333373. The next prime is 99333391. The reversal of 99333376 is 67333399.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 87609600 = 3424^2 + 9360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99333373) 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 3 ways as a sum of consecutive naturals, for example, 12436 + ... + 18796.

Almost surely, 299333376 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 99333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100780442).

99333376 is an abundant number, since it is smaller than the sum of its proper divisors (102227508).

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

99333376 is an equidigital number, since it uses as much as digits as its factorization.

99333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6424 counting only the distinct ones).

The product of its digits is 275562, while the sum is 43.

The square root of 99333376 is about 9966.6130656307. The cubic root of 99333376 is about 463.1251848148.

The spelling of 99333376 in words is "ninety-nine million, three hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 6361 7808 12722 15616 25444 50888 101776 203552 388021 407104 776042 814208 1552084 1628416 3104168 6208336 12416672 24833344 49666688 99333376