Search a number
-
+
115794048 = 2731511997
BaseRepresentation
bin1101110011011…
…10000010000000
322001212221120110
412321232002000
5214120402143
615253511320
72604142656
oct671560200
9261787513
10115794048
115a3a9867
1232942540
131acb36b6
1411542dd6
15a274533
hex6e6e080

115794048 has 64 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 38323200.

The previous prime is 115794031. The next prime is 115794097. The reversal of 115794048 is 840497511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 115793997 and 115794015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56986 + ... + 58982.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2115794048 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 115794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

115794048 is an abundant number, since it is smaller than the sum of its proper divisors (193975872).

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

115794048 is a wasteful number, since it uses less digits than its factorization.

115794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 115794048 is about 10760.7642851240. The cubic root of 115794048 is about 487.4110964770.

The spelling of 115794048 in words is "one hundred fifteen million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 1997 2416 3624 3994 4832 5991 7248 7988 9664 11982 14496 15976 19328 23964 28992 31952 47928 57984 63904 95856 127808 191712 255616 301547 383424 603094 766848 904641 1206188 1809282 2412376 3618564 4824752 7237128 9649504 14474256 19299008 28948512 38598016 57897024 115794048