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48478600 = 2352242393
BaseRepresentation
bin1011100011101…
…1100110001000
310101012222010201
42320323212020
544402303400
64451021544
71126030012
oct270734610
9111188121
1048478600
1125401765
121429a8b4
13a074a81
14661d1b2
1543c906a
hex2e3b988

48478600 has 24 divisors (see below), whose sum is σ = 112713210. Its totient is φ = 19391360.

The previous prime is 48478561. The next prime is 48478603. The reversal of 48478600 is 687484.

48478600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27520516 + 20958084 = 5246^2 + 4578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48478600.

It is not an unprimeable number, because it can be changed into a prime (48478603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120997 + ... + 121396.

Almost surely, 248478600 is an apocalyptic number.

48478600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48478600 is an abundant number, since it is smaller than the sum of its proper divisors (64234610).

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

48478600 is a wasteful number, since it uses less digits than its factorization.

48478600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242409 (or 242400 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 48478600 is about 6962.6575386127. The cubic root of 48478600 is about 364.6280065712.

The spelling of 48478600 in words is "forty-eight million, four hundred seventy-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 242393 484786 969572 1211965 1939144 2423930 4847860 6059825 9695720 12119650 24239300 48478600