Search a number
-
+
2564245086 = 2313213115427
BaseRepresentation
bin1001100011010111…
…0100011001011110
320121201002010222020
42120311310121132
520222421320321
61102240401010
7120354503124
oct23065643136
96551063866
102564245086
1110a64a4317
125b6916166
1331b3346b0
141a47b5914
151001bb4c6
hex98d7465e

2564245086 has 32 divisors (see below), whose sum is σ = 5525939328. Its totient is φ = 788577120.

The previous prime is 2564245067. The next prime is 2564245109. The reversal of 2564245086 is 6805424652.

It is a happy number.

It is a super-2 number, since 2×25642450862 = 13150705722150294792, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158505 + ... + 173931.

It is an arithmetic number, because the mean of its divisors is an integer number (172685604).

Almost surely, 22564245086 is an apocalyptic number.

2564245086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2564245086 is an abundant number, since it is smaller than the sum of its proper divisors (2961694242).

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

2564245086 is a wasteful number, since it uses less digits than its factorization.

2564245086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17576.

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 2564245086 is about 50638.3756256063. The cubic root of 2564245086 is about 1368.7364850775.

The spelling of 2564245086 in words is "two billion, five hundred sixty-four million, two hundred forty-five thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 78 2131 4262 6393 12786 15427 27703 30854 46281 55406 83109 92562 166218 200551 401102 601653 1203306 32874937 65749874 98624811 197249622 427374181 854748362 1282122543 2564245086