Search a number
-
+
2641881256 = 23723127013
BaseRepresentation
bin1001110101110111…
…1110100010101000
320211010011110202221
42131131332202220
520402310200011
61114052403424
7122316422500
oct23535764250
96733143687
102641881256
111136300543
12618916574
13331447b61
141b0c24a00
15106e04971
hex9d77e8a8

2641881256 has 72 divisors (see below), whose sum is σ = 5954991210. Its totient is φ = 1095554880.

The previous prime is 2641881197. The next prime is 2641881259. The reversal of 2641881256 is 6521881462.

It can be written as a sum of positive squares in only one way, i.e., 1846077156 + 795804100 = 42966^2 + 28210^2 .

It is not an unprimeable number, because it can be changed into a prime (2641881259) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 373206 + ... + 380218.

Almost surely, 22641881256 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 2641881256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977495605).

2641881256 is an abundant number, since it is smaller than the sum of its proper divisors (3313109954).

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

2641881256 is a wasteful number, since it uses less digits than its factorization.

2641881256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7053 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 2641881256 is about 51399.2340020744. The cubic root of 2641881256 is about 1382.4128578305.

The spelling of 2641881256 in words is "two billion, six hundred forty-one million, eight hundred eighty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 961 1519 1736 1922 3038 3844 6076 6727 7013 7688 12152 13454 14026 26908 28052 47089 49091 53816 56104 94178 98182 188356 196364 217403 343637 376712 392728 434806 687274 869612 1374548 1521821 1739224 2749096 3043642 6087284 6739493 10652747 12174568 13478986 21305494 26957972 42610988 47176451 53915944 85221976 94352902 188705804 330235157 377411608 660470314 1320940628 2641881256