Search a number
-
+
48138912 = 2532167149
BaseRepresentation
bin1011011110100…
…0101010100000
310100120201011200
42313220222200
544310421122
64435441200
71123113453
oct267505240
9110521150
1048138912
112519a528
1214156200
139c86283
14657149a
15435d5ac
hex2de8aa0

48138912 has 36 divisors (see below), whose sum is σ = 136895850. Its totient is φ = 16046208.

The previous prime is 48138911. The next prime is 48138947. The reversal of 48138912 is 21983184.

It can be written as a sum of positive squares in only one way, i.e., 47941776 + 197136 = 6924^2 + 444^2 .

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48138911) 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, 83287 + ... + 83862.

Almost surely, 248138912 is an apocalyptic number.

It is an amenable number.

48138912 is an abundant number, since it is smaller than the sum of its proper divisors (88756938).

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

48138912 is a wasteful number, since it uses less digits than its factorization.

48138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167165 (or 167154 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48138912 is about 6938.2210976590. The cubic root of 48138912 is about 363.7743640463.

It can be divided in two parts, 481 and 38912, that added together give a palindrome (39393).

The spelling of 48138912 in words is "forty-eight million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 167149 334298 501447 668596 1002894 1337192 1504341 2005788 2674384 3008682 4011576 5348768 6017364 8023152 12034728 16046304 24069456 48138912