Search a number
-
+
2463582990 = 2351124116553
BaseRepresentation
bin1001001011010111…
…0100101100001110
320100200122222112110
42102311310230032
520021134123430
61044243044450
7115023052461
oct22265645416
96320588473
102463582990
1110546a0400
12589070726
1330351b71b
141952912d8
15e64357b0
hex92d74b0e

2463582990 has 96 divisors (see below), whose sum is σ = 6657886368. Its totient is φ = 582630400.

The previous prime is 2463582983. The next prime is 2463582991. The reversal of 2463582990 is 992853642.

It is a happy number.

2463582990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24635829902 = 12138482297234680200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463582991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140554 + ... + 157106.

It is an arithmetic number, because the mean of its divisors is an integer number (69352983).

Almost surely, 22463582990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463582990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328943184).

2463582990 is an abundant number, since it is smaller than the sum of its proper divisors (4194303378).

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

2463582990 is a wasteful number, since it uses less digits than its factorization.

2463582990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16626 (or 16615 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 2463582990 is about 49634.4939532982. The cubic root of 2463582990 is about 1350.5864831733.

The spelling of 2463582990 in words is "two billion, four hundred sixty-three million, five hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 121 123 165 205 242 246 330 363 410 451 605 615 726 902 1210 1230 1353 1815 2255 2706 3630 4510 4961 6765 9922 13530 14883 16553 24805 29766 33106 49610 49659 74415 82765 99318 148830 165530 182083 248295 364166 496590 546249 678673 910415 1092498 1357346 1820830 2002913 2036019 2731245 3393365 4005826 4072038 5462490 6008739 6786730 7465403 10014565 10180095 12017478 14930806 20029130 20360190 22396209 30043695 37327015 44792418 60087390 74654030 82119433 111981045 164238866 223962090 246358299 410597165 492716598 821194330 1231791495 2463582990