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998683992 = 23341918069
BaseRepresentation
bin111011100001101…
…011010101011000
32120121012101220000
4323201223111120
54021130341432
6243033133000
733514450065
oct7341532530
92517171800
10998683992
11472805079
1223a55a160
1312bb99197
14968c7c6c
155ca2157c
hex3b86b558

998683992 has 80 divisors (see below), whose sum is σ = 2812233600. Its totient is φ = 331110720.

The previous prime is 998683981. The next prime is 998684017. The reversal of 998683992 is 299386899.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119734 + ... + 127802.

It is an arithmetic number, because the mean of its divisors is an integer number (35152920).

Almost surely, 2998683992 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 998683992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406116800).

998683992 is an abundant number, since it is smaller than the sum of its proper divisors (1813549608).

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

998683992 is a wasteful number, since it uses less digits than its factorization.

998683992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8265 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 998683992 is about 31601.9618378353. The cubic root of 998683992 is about 999.5611380951.

The spelling of 998683992 in words is "nine hundred ninety-eight million, six hundred eighty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 8069 10314 13752 15471 16138 20628 24207 30942 32276 41256 48414 61884 64552 72621 96828 123768 145242 193656 217863 290484 435726 580968 653589 871452 1307178 1541179 1742904 2614356 3082358 4623537 5228712 6164716 9247074 12329432 13870611 18494148 27741222 36988296 41611833 55482444 83223666 110964888 124835499 166447332 249670998 332894664 499341996 998683992