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2468090872 = 2313217731471
BaseRepresentation
bin1001001100011100…
…0001001111111000
320101000011000012001
42103013001033320
520023312401442
61044523430344
7115106266132
oct22307011770
96330130161
102468090872
11105719a225
1258a6853b4
13304439500
14195b06052
15e6a262b7
hex931c13f8

2468090872 has 96 divisors (see below), whose sum is σ = 5382132480. Its totient is φ = 1056706560.

The previous prime is 2468090857. The next prime is 2468090873. The reversal of 2468090872 is 2780908642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468090873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677097 + ... + 1678567.

It is an arithmetic number, because the mean of its divisors is an integer number (56063880).

Almost surely, 22468090872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468090872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691066240).

2468090872 is an abundant number, since it is smaller than the sum of its proper divisors (2914041608).

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

2468090872 is a wasteful number, since it uses less digits than its factorization.

2468090872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 2468090872 is about 49679.8839773202. The cubic root of 2468090872 is about 1351.4097522127.

The spelling of 2468090872 in words is "two billion, four hundred sixty-eight million, ninety thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 73 104 136 146 169 221 292 338 442 584 676 884 949 1241 1352 1471 1768 1898 2482 2873 2942 3796 4964 5746 5884 7592 9928 11492 11768 12337 16133 19123 22984 24674 25007 32266 38246 49348 50014 64532 76492 98696 100028 107383 129064 152984 200056 209729 214766 248599 325091 419458 429532 497198 650182 838916 859064 994396 1300364 1395979 1677832 1825511 1988792 2600728 2791958 3651022 4226183 5583916 7302044 8452366 11167832 14604088 16904732 18147727 23731643 33809464 36295454 47463286 72590908 94926572 145181816 189853144 308511359 617022718 1234045436 2468090872