Search a number
-
+
48139600 = 2452120349
BaseRepresentation
bin1011011110100…
…0110101010000
310100120202010011
42313220311100
544310431400
64435444304
71123115455
oct267506520
9110522104
1048139600
112519aaa3
1214156694
139c86692
14657182c
15435d8ba
hex2de8d50

48139600 has 30 divisors (see below), whose sum is σ = 115656350. Its totient is φ = 19255680.

The previous prime is 48139589. The next prime is 48139613. The reversal of 48139600 is 693184.

48139600 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 5053504 + 43086096 = 2248^2 + 6564^2 .

It is a congruent number.

It is an unprimeable number.

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, 59775 + ... + 60574.

Almost surely, 248139600 is an apocalyptic number.

48139600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48139600 is an abundant number, since it is smaller than the sum of its proper divisors (67516750).

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

48139600 is a wasteful number, since it uses less digits than its factorization.

48139600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120367 (or 120356 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 48139600 is about 6938.2706779139. The cubic root of 48139600 is about 363.7760970558.

The spelling of 48139600 in words is "forty-eight million, one hundred thirty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 120349 240698 481396 601745 962792 1203490 1925584 2406980 3008725 4813960 6017450 9627920 12034900 24069800 48139600