Search a number
-
+
2483112990 = 235177961631
BaseRepresentation
bin1001010000000001…
…0100110000011110
320102001102012122210
42110000110300132
520041134103430
61050221421250
7115351053321
oct22400246036
96361365583
102483112990
11106471a5a6
1259370a826
13307598c37
14197ad67b8
15e7ee22b0
hex94014c1e

2483112990 has 64 divisors (see below), whose sum is σ = 6390005760. Its totient is φ = 615313920.

The previous prime is 2483112953. The next prime is 2483113019. The reversal of 2483112990 is 992113842.

It is a super-2 number, since 2×24831129902 = 12331700242213480200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9475 + ... + 71105.

It is an arithmetic number, because the mean of its divisors is an integer number (99843840).

Almost surely, 22483112990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483112990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195002880).

2483112990 is an abundant number, since it is smaller than the sum of its proper divisors (3906892770).

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

2483112990 is a wasteful number, since it uses less digits than its factorization.

2483112990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61737.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2483112990 is about 49830.8437616703. The cubic root of 2483112990 is about 1354.1460085443.

The spelling of 2483112990 in words is "two billion, four hundred eighty-three million, one hundred twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 79 85 102 158 170 237 255 395 474 510 790 1185 1343 2370 2686 4029 6715 8058 13430 20145 40290 61631 123262 184893 308155 369786 616310 924465 1047727 1848930 2095454 3143181 4868849 5238635 6286362 9737698 10477270 14606547 15715905 24344245 29213094 31431810 48688490 73032735 82770433 146065470 165540866 248311299 413852165 496622598 827704330 1241556495 2483112990