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99663552 = 2632712437
BaseRepresentation
bin1011111000010…
…11111011000000
320221112102200200
411330023323000
5201003213202
613520045200
72320061202
oct574137300
9227472620
1099663552
115129177a
1229463800
1317856621
14d344772
158b39e1c
hex5f0bec0

99663552 has 84 divisors (see below), whose sum is σ = 289809936. Its totient is φ = 32739840.

The previous prime is 99663539. The next prime is 99663563. The reversal of 99663552 is 25536699.

99663552 is a `hidden beast` number, since 9 + 9 + 6 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99663498 and 99663507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39678 + ... + 42114.

Almost surely, 299663552 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 99663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144904968).

99663552 is an abundant number, since it is smaller than the sum of its proper divisors (190146384).

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

99663552 is a wasteful number, since it uses less digits than its factorization.

99663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2513 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 99663552 is about 9983.1634264896. The cubic root of 99663552 is about 463.6377473797.

The spelling of 99663552 in words is "ninety-nine million, six hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2437 2556 3408 4544 4874 5112 6816 7311 9748 10224 13632 14622 19496 20448 21933 29244 38992 40896 43866 58488 77984 87732 116976 155968 173027 175464 233952 346054 350928 467904 519081 692108 701856 1038162 1384216 1403712 1557243 2076324 2768432 3114486 4152648 5536864 6228972 8305296 11073728 12457944 16610592 24915888 33221184 49831776 99663552