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2543004860 = 2251126343951
BaseRepresentation
bin1001011110010011…
…0010110010111100
320120020010000212012
42113210302302330
520202002123420
61100201230352
7120006120224
oct22744626274
96506100765
102543004860
111095507210
125ab7923b8
13316b08906
141a1a47084
15ed3c2dc5
hex97932cbc

2543004860 has 48 divisors (see below), whose sum is σ = 5848077312. Its totient is φ = 921192000.

The previous prime is 2543004853. The next prime is 2543004883. The reversal of 2543004860 is 684003452.

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, 35885 + ... + 79835.

It is an arithmetic number, because the mean of its divisors is an integer number (121834944).

Almost surely, 22543004860 is an apocalyptic number.

2543004860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543004860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924038656).

2543004860 is an abundant number, since it is smaller than the sum of its proper divisors (3305072452).

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

2543004860 is a wasteful number, since it uses less digits than its factorization.

2543004860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44234 (or 44232 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2543004860 is about 50428.2149198244. The cubic root of 2543004860 is about 1364.9468168396.

The spelling of 2543004860 in words is "two billion, five hundred forty-three million, four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 5260 5786 11572 14465 28930 43951 57860 87902 175804 219755 439510 483461 879020 966922 1933844 2417305 4834610 9669220 11559113 23118226 46236452 57795565 115591130 127150243 231182260 254300486 508600972 635751215 1271502430 2543004860