Search a number
-
+
2590057168 = 24179522269
BaseRepresentation
bin1001101001100001…
…0010001011010000
320200111122112111021
42122120102023100
520301023312133
61105001525224
7121120060036
oct23230221320
96614575437
102590057168
11110a024316
126034a3814
133237a140a
141a7db4556
151025b952d
hex9a6122d0

2590057168 has 20 divisors (see below), whose sum is σ = 5313426660. Its totient is φ = 1218850304.

The previous prime is 2590057121. The next prime is 2590057201. The reversal of 2590057168 is 8617500952.

It can be written as a sum of positive squares in 2 ways, for example, as 2005964944 + 584092224 = 44788^2 + 24168^2 .

It is a super-2 number, since 2×25900571682 = 13416792267016360448, 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 3 ways as a sum of consecutive naturals, for example, 4760863 + ... + 4761406.

It is an arithmetic number, because the mean of its divisors is an integer number (265671333).

Almost surely, 22590057168 is an apocalyptic number.

It is an amenable number.

2590057168 is an abundant number, since it is smaller than the sum of its proper divisors (2723369492).

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

2590057168 is a wasteful number, since it uses less digits than its factorization.

2590057168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522294 (or 9522288 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 2590057168 is about 50892.6042564143. The cubic root of 2590057168 is about 1373.3137973363.

The spelling of 2590057168 in words is "two billion, five hundred ninety million, fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 9522269 19044538 38089076 76178152 152356304 161878573 323757146 647514292 1295028584 2590057168