Search a number
-
+
990656298 = 233291633881
BaseRepresentation
bin111011000011000…
…011011100101010
32120001002112222000
4323003003130222
54012102000143
6242145111430
733356303532
oct7303033452
92501075860
10990656298
11469221815
12237928576
1312a318278
14957d84c2
155be87bd3
hex3b0c372a

990656298 has 64 divisors (see below), whose sum is σ = 2291932800. Its totient is φ = 316794240.

The previous prime is 990656291. The next prime is 990656311. The reversal of 990656298 is 892656099.

990656298 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 5 + 629 + 8 = 666.

990656298 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9906562983 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (990656291) 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, 253318 + ... + 257198.

It is an arithmetic number, because the mean of its divisors is an integer number (35811450).

Almost surely, 2990656298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990656298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145966400).

990656298 is an abundant number, since it is smaller than the sum of its proper divisors (1301276502).

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

990656298 is a wasteful number, since it uses less digits than its factorization.

990656298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 990656298 is about 31474.6929770570. The cubic root of 990656298 is about 996.8756814662.

The spelling of 990656298 in words is "nine hundred ninety million, six hundred fifty-six thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 163 174 261 326 489 522 783 978 1467 1566 2934 3881 4401 4727 7762 8802 9454 11643 14181 23286 28362 34929 42543 69858 85086 104787 112549 127629 209574 225098 255258 337647 632603 675294 1012941 1265206 1897809 2025882 3038823 3795618 5693427 6077646 11386854 17080281 18345487 34160562 36690974 55036461 110072922 165109383 330218766 495328149 990656298