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99998964 = 2232131712569
BaseRepresentation
bin1011111010111…
…01110011110100
320222011110210100
411331131303310
5201044431324
613531154100
72322656112
oct575356364
9228143710
1099998964
11514a077a
12295a5930
13179431b0
14d3d0ab2
158ba44c9
hex5f5dcf4

99998964 has 72 divisors (see below), whose sum is σ = 288255240. Its totient is φ = 28956672.

The previous prime is 99998953. The next prime is 99998971. The reversal of 99998964 is 46989999.

It can be written as a sum of positive squares in 4 ways, for example, as 40832100 + 59166864 = 6390^2 + 7692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672 + ... + 14240.

It is an arithmetic number, because the mean of its divisors is an integer number (4003545).

Almost surely, 299998964 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 99998964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144127620).

99998964 is an abundant number, since it is smaller than the sum of its proper divisors (188256276).

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

99998964 is a wasteful number, since it uses less digits than its factorization.

99998964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609 (or 12604 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 63.

The square root of 99998964 is about 9999.9481998658. The cubic root of 99998964 is about 464.1572804604.

The spelling of 99998964 in words is "ninety-nine million, nine hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 12569 25138 37707 50276 75414 113121 150828 163397 213673 226242 326794 427346 452484 490191 641019 653588 854692 980382 1282038 1470573 1923057 1960764 2564076 2777749 2941146 3846114 5555498 5882292 7692228 8333247 11110996 16666494 24999741 33332988 49999482 99998964