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99442304 = 271324597
BaseRepresentation
bin1011110110101…
…01111010000000
320221010012012022
411323111322000
5200424123204
613511221012
72315150153
oct573257200
9227105168
1099442304
1151150525
1229377768
13177a9a00
14d2c7c9a
158ae45be
hex5ed5e80

99442304 has 48 divisors (see below), whose sum is σ = 214565670. Its totient is φ = 45886464.

The previous prime is 99442289. The next prime is 99442307. The reversal of 99442304 is 40324499.

It can be written as a sum of positive squares in 3 ways, for example, as 25482304 + 73960000 = 5048^2 + 8600^2 .

It is not an unprimeable number, because it can be changed into a prime (99442307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19334 + ... + 23930.

Almost surely, 299442304 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 99442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107282835).

99442304 is an abundant number, since it is smaller than the sum of its proper divisors (115123366).

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

99442304 is a wasteful number, since it uses less digits than its factorization.

99442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 99442304 is about 9972.0762131063. The cubic root of 99442304 is about 463.2944091426.

The spelling of 99442304 in words is "ninety-nine million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 4597 5408 9194 10816 18388 21632 36776 59761 73552 119522 147104 239044 294208 478088 588416 776893 956176 1553786 1912352 3107572 3824704 6215144 7649408 12430288 24860576 49721152 99442304