Search a number
-
+
48138552 = 233271119457
BaseRepresentation
bin1011011110100…
…0100100111000
310100120200200100
42313220210320
544310413202
64435435400
71123112430
oct267504470
9110520610
1048138552
112519a230
1214155b60
139c86067
1465712c0
15435d41c
hex2de8938

48138552 has 192 divisors, whose sum is σ = 171475200. Its totient is φ = 11819520.

The previous prime is 48138539. The next prime is 48138557. The reversal of 48138552 is 25583184.

It is a happy number.

48138552 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48138557) 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 47 ways as a sum of consecutive naturals, for example, 105108 + ... + 105564.

It is an arithmetic number, because the mean of its divisors is an integer number (893100).

Almost surely, 248138552 is an apocalyptic number.

48138552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48138552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85737600).

48138552 is an abundant number, since it is smaller than the sum of its proper divisors (123336648).

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

48138552 is a wasteful number, since it uses less digits than its factorization.

48138552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 48138552 is about 6938.1951543611. The cubic root of 48138552 is about 363.7734572324.

The spelling of 48138552 in words is "forty-eight million, one hundred thirty-eight thousand, five hundred fifty-two".