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2585006260 = 2251271017719
BaseRepresentation
bin1001101000010100…
…0001000010110100
320200011010220221121
42122011001002310
520243230200020
61104301353324
7121026122254
oct23205010264
96604126847
102585006260
111107194511
12601868844
13322723405
141a745b964
15101e1cbaa
hex9a1410b4

2585006260 has 24 divisors (see below), whose sum is σ = 5471262720. Its totient is φ = 1025859744.

The previous prime is 2585006243. The next prime is 2585006299. The reversal of 2585006260 is 626005852.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 506320 + ... + 511399.

It is an arithmetic number, because the mean of its divisors is an integer number (227969280).

Almost surely, 22585006260 is an apocalyptic number.

2585006260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585006260 is an abundant number, since it is smaller than the sum of its proper divisors (2886256460).

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

2585006260 is a wasteful number, since it uses less digits than its factorization.

2585006260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017855 (or 1017853 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2585006260 is about 50842.9568376978. The cubic root of 2585006260 is about 1372.4205100374.

The spelling of 2585006260 in words is "two billion, five hundred eighty-five million, six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 1017719 2035438 4070876 5088595 10177190 20354380 129250313 258500626 517001252 646251565 1292503130 2585006260