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99982304 = 2517239769
BaseRepresentation
bin1011111010110…
…01101111100000
320222010121221022
411331121233200
5201043413204
613530545012
72322556412
oct575315740
9228117838
1099982304
115148a204
1229598168
1317938736
14d3c89b2
158b9e5be
hex5f59be0

99982304 has 48 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 46792704.

The previous prime is 99982303. The next prime is 99982307. The reversal of 99982304 is 40328999.

It is a super-2 number, since 2×999823042 = 19992922226296832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99982303) 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, 129632 + ... + 130400.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 299982304 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 99982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

99982304 is an abundant number, since it is smaller than the sum of its proper divisors (109580896).

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

99982304 is a wasteful number, since it uses less digits than its factorization.

99982304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 99982304 is about 9999.1151608530. The cubic root of 99982304 is about 464.1315025608.

The spelling of 99982304 in words is "ninety-nine million, nine hundred eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 239 272 478 544 769 956 1538 1912 3076 3824 4063 6152 7648 8126 12304 13073 16252 24608 26146 32504 52292 65008 104584 130016 183791 209168 367582 418336 735164 1470328 2940656 3124447 5881312 6248894 12497788 24995576 49991152 99982304