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48048192 = 263283417
BaseRepresentation
bin1011011101001…
…0100001000000
310100102002201200
42313102201000
544300020232
64433501200
71122255123
oct267224100
9110362650
1048048192
1125138355
1214111800
139c53baa
14654a3ba
15434177c
hex2dd2840

48048192 has 42 divisors (see below), whose sum is σ = 137723118. Its totient is φ = 16015872.

The previous prime is 48048167. The next prime is 48048197. The reversal of 48048192 is 29184084.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 17842176 = 5496^2 + 4224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48048197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41133 + ... + 42284.

Almost surely, 248048192 is an apocalyptic number.

It is an amenable number.

48048192 is an abundant number, since it is smaller than the sum of its proper divisors (89674926).

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

48048192 is a wasteful number, since it uses less digits than its factorization.

48048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83435 (or 83422 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48048192 is about 6931.6803157676. The cubic root of 48048192 is about 363.5457038233.

It can be divided in two parts, 4804 and 8192, that added together give a square (12996 = 1142).

The spelling of 48048192 in words is "forty-eight million, forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 83417 166834 250251 333668 500502 667336 750753 1001004 1334672 1501506 2002008 2669344 3003012 4004016 5338688 6006024 8008032 12012048 16016064 24024096 48048192