Search a number
-
+
2486313468 = 223419140177
BaseRepresentation
bin1001010000110010…
…0010000111111100
320102021102210220000
42110030202013330
520042444012333
61050414154300
7115420213212
oct22414420774
96367383800
102486313468
111066506121
125947b2990
13308149902
141982cacb2
15e8425713
hex943221fc

2486313468 has 60 divisors (see below), whose sum is σ = 6533907072. Its totient is φ = 824411520.

The previous prime is 2486313443. The next prime is 2486313499. The reversal of 2486313468 is 8643136842.

2486313468 is a `hidden beast` number, since 2 + 4 + 8 + 631 + 3 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×24863134682 = 12363509322316374048, which contains 22 as substring.

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, 41796 + ... + 81972.

Almost surely, 22486313468 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 2486313468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266953536).

2486313468 is an abundant number, since it is smaller than the sum of its proper divisors (4047593604).

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

2486313468 is a wasteful number, since it uses less digits than its factorization.

2486313468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40384 (or 40373 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2486313468 is about 49862.9468443252. The cubic root of 2486313468 is about 1354.7275438816.

The spelling of 2486313468 in words is "two billion, four hundred eighty-six million, three hundred thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 764 1146 1719 2292 3438 5157 6876 10314 15471 20628 30942 40177 61884 80354 120531 160708 241062 361593 482124 723186 1084779 1446372 2169558 3254337 4339116 6508674 7673807 13017348 15347614 23021421 30695228 46042842 69064263 92085684 138128526 207192789 276257052 414385578 621578367 828771156 1243156734 2486313468