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48746800 = 2452121867
BaseRepresentation
bin1011100111110…
…1000100110000
310101201121001001
42321331010300
544434344200
64500451344
71131224644
oct271750460
9111647031
1048746800
1125575213
12143a9b54
13a139b7b
14668cc24
15442d76a
hex2e7d130

48746800 has 30 divisors (see below), whose sum is σ = 117115148. Its totient is φ = 19498560.

The previous prime is 48746783. The next prime is 48746801. The reversal of 48746800 is 864784.

48746800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48746800.

It is not an unprimeable number, because it can be changed into a prime (48746801) 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, 60534 + ... + 61333.

Almost surely, 248746800 is an apocalyptic number.

48746800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48746800 is an abundant number, since it is smaller than the sum of its proper divisors (68368348).

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

48746800 is a wasteful number, since it uses less digits than its factorization.

48746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121885 (or 121874 counting only the distinct ones).

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

The square root of 48746800 is about 6981.8908613641. The cubic root of 48746800 is about 365.2991854823.

The spelling of 48746800 in words is "forty-eight million, seven hundred forty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 121867 243734 487468 609335 974936 1218670 1949872 2437340 3046675 4874680 6093350 9749360 12186700 24373400 48746800