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2982090632 = 231731222817
BaseRepresentation
bin1011000110111111…
…0001011110001000
321200211022220022012
42301233301132020
522101403400012
61211524315052
7133620231533
oct26157613610
97624286265
102982090632
1112a0348914
126b2842a88
13386a83891
142040a3a1a
15126c07622
hexb1bf1788

2982090632 has 48 divisors (see below), whose sum is σ = 6117733980. Its totient is φ = 1358008320.

The previous prime is 2982090569. The next prime is 2982090637. The reversal of 2982090632 is 2360902892.

It can be written as a sum of positive squares in 2 ways, for example, as 2261382916 + 720707716 = 47554^2 + 26846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2982090632.

It is not an unprimeable number, because it can be changed into a prime (2982090637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119288 + ... + 142104.

Almost surely, 22982090632 is an apocalyptic number.

It is an amenable number.

2982090632 is an abundant number, since it is smaller than the sum of its proper divisors (3135643348).

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

2982090632 is a wasteful number, since it uses less digits than its factorization.

2982090632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22867 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 2982090632 is about 54608.5216060644. The cubic root of 2982090632 is about 1439.3738648743.

The spelling of 2982090632 in words is "two billion, nine hundred eighty-two million, ninety thousand, six hundred thirty-two".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 961 1054 1922 2108 3844 4216 7688 16337 22817 32674 45634 65348 91268 130696 182536 387889 707327 775778 1414654 1551556 2829308 3103112 5658616 12024559 21927137 24049118 43854274 48098236 87708548 96196472 175417096 372761329 745522658 1491045316 2982090632