Search a number
-
+
112874048 = 267235993
BaseRepresentation
bin1101011101001…
…01001001000000
321212101121002022
412232211021000
5212343432143
615111141012
72540261600
oct656451100
9255347068
10112874048
1158794a41
1231974768
131a5005a1
1410dc2c00
159d99268
hex6ba5240

112874048 has 42 divisors (see below), whose sum is σ = 260560566. Its totient is φ = 48373248.

The previous prime is 112874039. The next prime is 112874053. The reversal of 112874048 is 840478211.

112874048 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 109662784 + 3211264 = 10472^2 + 1792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112873999 and 112874017.

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 5 ways as a sum of consecutive naturals, for example, 14861 + ... + 21132.

It is an arithmetic number, because the mean of its divisors is an integer number (6203823).

Almost surely, 2112874048 is an apocalyptic number.

It is an amenable number.

112874048 is an abundant number, since it is smaller than the sum of its proper divisors (147686518).

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

112874048 is an equidigital number, since it uses as much as digits as its factorization.

112874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36019 (or 36002 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 112874048 is about 10624.2198772428. The cubic root of 112874048 is about 483.2791217306.

The spelling of 112874048 in words is "one hundred twelve million, eight hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 35993 71986 143972 251951 287944 503902 575888 1007804 1151776 1763657 2015608 2303552 3527314 4031216 7054628 8062432 14109256 16124864 28218512 56437024 112874048