Search a number
-
+
48903360 = 2635112421
BaseRepresentation
bin1011101010001…
…1010011000000
310102000112210120
42322203103000
5100004401420
64504100240
71132446252
oct272432300
9112015716
1048903360
1125671900
1214464680
13a1931cc
1466cdcd2
15445ed40
hex2ea34c0

48903360 has 168 divisors, whose sum is σ = 171072048. Its totient is φ = 11827200.

The previous prime is 48903353. The next prime is 48903401. The reversal of 48903360 is 6330984.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115950 + ... + 116370.

It is an arithmetic number, because the mean of its divisors is an integer number (1018286).

Almost surely, 248903360 is an apocalyptic number.

48903360 is a gapful number since it is divisible by the number (40) 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 48903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536024).

48903360 is an abundant number, since it is smaller than the sum of its proper divisors (122168688).

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

48903360 is a wasteful number, since it uses less digits than its factorization.

48903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 48903360 is about 6993.0937359655. The cubic root of 48903360 is about 365.6898444417.

The spelling of 48903360 in words is "forty-eight million, nine hundred three thousand, three hundred sixty".