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99946304 = 266125601
BaseRepresentation
bin1011111010100…
…00111101000000
320222001210112222
411331100331000
5201041240204
613530110212
72322346433
oct575207500
9228053488
1099946304
1151465157
122957b368
1317925233
14d3b981a
158b93abe
hex5f50f40

99946304 has 28 divisors (see below), whose sum is σ = 201590148. Its totient is φ = 49152000.

The previous prime is 99946303. The next prime is 99946307. The reversal of 99946304 is 40364999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58369600 + 41576704 = 7640^2 + 6448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99946303) 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, 8897 + ... + 16704.

Almost surely, 299946304 is an apocalyptic number.

It is an amenable number.

99946304 is an abundant number, since it is smaller than the sum of its proper divisors (101643844).

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

99946304 is a wasteful number, since it uses less digits than its factorization.

99946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 99946304 is about 9997.3148394957. The cubic root of 99946304 is about 464.0757902356.

The spelling of 99946304 in words is "ninety-nine million, nine hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 25601 51202 102404 204808 409616 819232 1561661 1638464 3123322 6246644 12493288 24986576 49973152 99946304