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48584196 = 22329713913
BaseRepresentation
bin1011100101010…
…1011000000100
310101102022222200
42321111120010
544414143241
64453154500
71126646613
oct271253004
9111368880
1048584196
1125474031
121432ba30
13a0b0b5b
14664987a
1543ea4b6
hex2e55604

48584196 has 36 divisors (see below), whose sum is σ = 124085052. Its totient is φ = 16026624.

The previous prime is 48584189. The next prime is 48584213. The reversal of 48584196 is 69148584.

48584196 is a `hidden beast` number, since 485 + 84 + 1 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 21958596 = 5160^2 + 4686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3465 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (3446807).

Almost surely, 248584196 is an apocalyptic number.

It is an amenable number.

48584196 is an abundant number, since it is smaller than the sum of its proper divisors (75500856).

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

48584196 is a wasteful number, since it uses less digits than its factorization.

48584196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14020 (or 14015 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 48584196 is about 6970.2364378836. The cubic root of 48584196 is about 364.8925586062.

It can be divided in two parts, 485 and 84196, that added together give a square (84681 = 2912).

The spelling of 48584196 in words is "forty-eight million, five hundred eighty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 13913 27826 41739 55652 83478 125217 166956 250434 500868 1349561 2699122 4048683 5398244 8097366 12146049 16194732 24292098 48584196