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99979992 = 233272171667
BaseRepresentation
bin1011111010110…
…01001011011000
320222010111202200
411331121023120
5201043324432
613530530200
72322546600
oct575311330
9228114680
1099979992
11514884a2
1229596960
1317937678
14d3c7c00
158b9da7c
hex5f592d8

99979992 has 144 divisors (see below), whose sum is σ = 333716760. Its totient is φ = 26869248.

The previous prime is 99979981. The next prime is 99979993. The reversal of 99979992 is 29997999.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99979993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59143 + ... + 60809.

Almost surely, 299979992 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 99979992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166858380).

99979992 is an abundant number, since it is smaller than the sum of its proper divisors (233736768).

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

99979992 is a wasteful number, since it uses less digits than its factorization.

99979992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1696 counting only the distinct ones).

The product of its digits is 7440174, while the sum is 63.

The square root of 99979992 is about 9998.9995499550. Note that the first 3 decimals coincide. The cubic root of 99979992 is about 464.1279249933.

The spelling of 99979992 in words is "ninety-nine million, nine hundred seventy-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1667 1764 2142 2499 2856 3332 3334 3528 4284 4998 5001 6664 6668 7497 8568 9996 10002 11669 13336 14994 15003 19992 20004 23338 28339 29988 30006 35007 40008 46676 56678 59976 60012 70014 81683 85017 93352 105021 113356 120024 140028 163366 170034 198373 210042 226712 245049 255051 280056 326732 340068 396746 420084 490098 510102 595119 653464 680136 735147 793492 840168 980196 1020204 1190238 1388611 1470294 1586984 1785357 1960392 2040408 2380476 2777222 2940588 3570714 4165833 4760952 5554444 5881176 7141428 8331666 11108888 12497499 14282856 16663332 24994998 33326664 49989996 99979992