Search a number
-
+
2112962592 = 2531311314983
BaseRepresentation
bin111110111110001…
…0100000000100000
312110020220121202210
41331330110000200
513311404300332
6545400042120
7103234612536
oct17574240040
95406817683
102112962592
11994792084
124ab763340
132789a9030
141608a2156
15c5777ecc
hex7df14020

2112962592 has 96 divisors (see below), whose sum is σ = 6026444928. Its totient is φ = 644345856.

The previous prime is 2112962587. The next prime is 2112962609. The reversal of 2112962592 is 2952692112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21129625922 = 8929221830382716928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2112962592.

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, 133533 + ... + 148515.

It is an arithmetic number, because the mean of its divisors is an integer number (62775468).

Almost surely, 22112962592 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 2112962592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013222464).

2112962592 is an abundant number, since it is smaller than the sum of its proper divisors (3913482336).

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

2112962592 is a wasteful number, since it uses less digits than its factorization.

2112962592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 15114 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 2112962592 is about 45966.9728392027. The cubic root of 2112962592 is about 1283.2086232819.

The spelling of 2112962592 in words is "two billion, one hundred twelve million, nine hundred sixty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 113 156 208 226 312 339 416 452 624 678 904 1248 1356 1469 1808 2712 2938 3616 4407 5424 5876 8814 10848 11752 14983 17628 23504 29966 35256 44949 47008 59932 70512 89898 119864 141024 179796 194779 239728 359592 389558 479456 584337 719184 779116 1168674 1438368 1558232 1693079 2337348 3116464 3386158 4674696 5079237 6232928 6772316 9349392 10158474 13544632 18698784 20316948 22010027 27089264 40633896 44020054 54178528 66030081 81267792 88040108 132060162 162535584 176080216 264120324 352160432 528240648 704320864 1056481296 2112962592