Search a number
-
+
48397104 = 243272193
BaseRepresentation
bin1011100010011…
…1101100110000
310101001211100100
42320213230300
544342201404
64445152400
71125240300
oct270475460
9111054310
1048397104
1125356508
121425b700
13a046952
1465db600
1543aed39
hex2e27b30

48397104 has 180 divisors, whose sum is σ = 166310040. Its totient is φ = 13099968.

The previous prime is 48397103. The next prime is 48397121. The reversal of 48397104 is 40179384.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48397104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48397103) 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 35 ways as a sum of consecutive naturals, for example, 2547207 + ... + 2547225.

Almost surely, 248397104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48397104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83155020).

48397104 is an abundant number, since it is smaller than the sum of its proper divisors (117912936).

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

48397104 is a wasteful number, since it uses less digits than its factorization.

48397104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48397104 is about 6956.8027138909. The cubic root of 48397104 is about 364.4235700362.

The spelling of 48397104 in words is "forty-eight million, three hundred ninety-seven thousand, one hundred four".