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99992424 = 23377183101
BaseRepresentation
bin1011111010111…
…00001101101000
320222011010211010
411331130031220
5201044224144
613531103520
72322631050
oct575341550
9228133733
1099992424
1151496874
12295a1ba0
131794021c
14d3cc560
158ba25b9
hex5f5c368

99992424 has 128 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 27552000.

The previous prime is 99992413. The next prime is 99992429. The reversal of 99992424 is 42429999.

It is not an unprimeable number, because it can be changed into a prime (99992429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989974 + ... + 990074.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 299992424 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 99992424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

99992424 is an abundant number, since it is smaller than the sum of its proper divisors (196117656).

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

99992424 is a wasteful number, since it uses less digits than its factorization.

99992424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 99992424 is about 9999.6211928253. The cubic root of 99992424 is about 464.1471615063.

The spelling of 99992424 in words is "ninety-nine million, nine hundred ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 83 84 101 142 166 168 202 213 249 284 303 332 404 426 497 498 568 581 606 664 707 808 852 994 996 1162 1212 1414 1491 1704 1743 1988 1992 2121 2324 2424 2828 2982 3486 3976 4242 4648 5656 5893 5964 6972 7171 8383 8484 11786 11928 13944 14342 16766 16968 17679 21513 23572 25149 28684 33532 35358 41251 43026 47144 50197 50298 57368 58681 67064 70716 82502 86052 100394 100596 117362 123753 141432 150591 165004 172104 176043 200788 201192 234724 247506 301182 330008 352086 401576 469448 495012 595193 602364 704172 990024 1190386 1204728 1408344 1785579 2380772 3571158 4166351 4761544 7142316 8332702 12499053 14284632 16665404 24998106 33330808 49996212 99992424