Search a number
-
+
48140768 = 2513313733
BaseRepresentation
bin1011011110100…
…1000111100000
310100120210201102
42313221013200
544311001033
64435453532
71123122044
oct267510740
9110523642
1048140768
11251a0965
12141572a8
139c87080
146572024
15435dde8
hex2de91e0

48140768 has 48 divisors (see below), whose sum is σ = 105388416. Its totient is φ = 21496320.

The previous prime is 48140759. The next prime is 48140777. The reversal of 48140768 is 86704184.

48140768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48140759) and next prime (48140777).

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 7 ways as a sum of consecutive naturals, for example, 11030 + ... + 14762.

It is an arithmetic number, because the mean of its divisors is an integer number (2195592).

Almost surely, 248140768 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 48140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52694208).

48140768 is an abundant number, since it is smaller than the sum of its proper divisors (57247648).

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

48140768 is a wasteful number, since it uses less digits than its factorization.

48140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 48140768 is about 6938.3548482331. The cubic root of 48140768 is about 363.7790391038.

The spelling of 48140768 in words is "forty-eight million, one hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 3733 6448 7466 12896 14932 29864 48529 59728 97058 115723 119456 194116 231446 388232 462892 776464 925784 1504399 1552928 1851568 3008798 3703136 6017596 12035192 24070384 48140768