Search a number
-
+
2516863780 = 225238365921
BaseRepresentation
bin1001011000000100…
…0100101100100100
320111101220221001001
42112001010230210
520123304120110
61053425043044
7116240663164
oct22601045444
96441827031
102516863780
111081782012
125a2a86484
13311585212
1419c3a05a4
15eae5c63a
hex96044b24

2516863780 has 48 divisors (see below), whose sum is σ = 5581747584. Its totient is φ = 951357440.

The previous prime is 2516863751. The next prime is 2516863793. The reversal of 2516863780 is 873686152.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2516863780.

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 15 ways as a sum of consecutive naturals, for example, 5220 + ... + 71140.

It is an arithmetic number, because the mean of its divisors is an integer number (116286408).

Almost surely, 22516863780 is an apocalyptic number.

2516863780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516863780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790873792).

2516863780 is an abundant number, since it is smaller than the sum of its proper divisors (3064883804).

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

2516863780 is a wasteful number, since it uses less digits than its factorization.

2516863780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66036 (or 66034 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 2516863780 is about 50168.3543680675. The cubic root of 2516863780 is about 1360.2536615952.

The spelling of 2516863780 in words is "two billion, five hundred sixteen million, eight hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1660 1909 3818 7636 9545 19090 38180 65921 131842 263684 329605 659210 1318420 1516183 3032366 5471443 6064732 7580915 10942886 15161830 21885772 27357215 30323660 54714430 109428860 125843189 251686378 503372756 629215945 1258431890 2516863780