Search a number
-
+
768398112 = 25324756767
BaseRepresentation
bin101101110011001…
…101001100100000
31222112212200001100
4231303031030200
53033202214422
6204125234400
725020163506
oct5563151440
91875780040
10768398112
11364816969
12195402a00
13c3269a51
14740a0676
15476d37ac
hex2dccd320

768398112 has 72 divisors (see below), whose sum is σ = 2231663616. Its totient is φ = 250678656.

The previous prime is 768398101. The next prime is 768398131. The reversal of 768398112 is 211893867.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14848 + ... + 41919.

It is an arithmetic number, because the mean of its divisors is an integer number (30995328).

Almost surely, 2768398112 is an apocalyptic number.

768398112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

768398112 is an abundant number, since it is smaller than the sum of its proper divisors (1463265504).

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

768398112 is a wasteful number, since it uses less digits than its factorization.

768398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56830 (or 56819 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 768398112 is about 27719.9948051943. The cubic root of 768398112 is about 915.9296043738.

The spelling of 768398112 in words is "seven hundred sixty-eight million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 56767 113534 170301 227068 340602 454136 510903 681204 908272 1021806 1362408 1816544 2043612 2668049 2724816 4087224 5336098 5449632 8004147 8174448 10672196 16008294 16348896 21344392 24012441 32016588 42688784 48024882 64033176 85377568 96049764 128066352 192099528 256132704 384199056 768398112