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2588008852 = 22111323196717
BaseRepresentation
bin1001101001000001…
…1110000110010100
320200100210110201201
42122100132012110
520300012240402
61104450002244
7121063466212
oct23220360624
96610713651
102588008852
1111089553a0
12602876384
13323234cb0
141a79ddcb2
15102312687
hex9a41e194

2588008852 has 48 divisors (see below), whose sum is σ = 5552168832. Its totient is φ = 1038660480.

The previous prime is 2588008849. The next prime is 2588008873.

2588008852 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85203 + ... + 111514.

It is an arithmetic number, because the mean of its divisors is an integer number (115670184).

Almost surely, 22588008852 is an apocalyptic number.

2588008852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2588008852 is an abundant number, since it is smaller than the sum of its proper divisors (2964159980).

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

2588008852 is a wasteful number, since it uses less digits than its factorization.

2588008852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196768 (or 196766 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The square root of 2588008852 is about 50872.4763698407. The cubic root of 2588008852 is about 1372.9516788829.

The spelling of 2588008852 in words is "two billion, five hundred eighty-eight million, eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 143 253 286 299 506 572 598 1012 1196 3289 6578 13156 196717 393434 786868 2163887 2557321 4327774 4524491 5114642 8655548 9048982 10229284 18097964 28130531 49769401 56261062 58818383 99538802 112522124 117636766 199077604 235273532 647002213 1294004426 2588008852