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99940008 = 23372174999
BaseRepresentation
bin1011111010011…
…11011010101000
320222001110220210
411331033122220
5201041040013
613530021120
72322322200
oct575173250
9228043823
1099940008
1151460453
12295777a0
13179223cc
14d3b7400
158b91cc3
hex5f4f6a8

99940008 has 96 divisors (see below), whose sum is σ = 307800000. Its totient is φ = 26869248.

The previous prime is 99940007. The next prime is 99940013. The reversal of 99940008 is 80004999.

It is a Cunningham number, because it is equal to 99972-1.

It is not an unprimeable number, because it can be changed into a prime (99940007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17493 + ... + 22491.

It is an arithmetic number, because the mean of its divisors is an integer number (3206250).

Almost surely, 299940008 is an apocalyptic number.

99940008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99940008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900000).

99940008 is an abundant number, since it is smaller than the sum of its proper divisors (207859992).

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

99940008 is a wasteful number, since it uses less digits than its factorization.

99940008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 99940008 is about 9996.9999499850. Note that the first 4 decimals coincide. The cubic root of 99940008 is about 464.0660453946.

The spelling of 99940008 in words is "ninety-nine million, nine hundred forty thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 4999 6664 9996 9998 14997 19992 19996 29994 34993 39992 59988 69986 84983 104979 119976 139972 169966 209958 244951 254949 279944 339932 419916 489902 509898 594881 679864 734853 839832 979804 1019796 1189762 1469706 1784643 1959608 2039592 2379524 2939412 3569286 4164167 4759048 5878824 7138572 8328334 12492501 14277144 16656668 24985002 33313336 49970004 99940008