Search a number
-
+
50459904 = 2832112181
BaseRepresentation
bin1100000001111…
…1010100000000
310111221121222100
43000133110000
5100404204104
65001310400
71151621265
oct300372400
9114847870
1050459904
1126535300
1214a95400
13a5b9841
1469b726c
15466b139
hex301f500

50459904 has 162 divisors, whose sum is σ = 160800458. Its totient is φ = 15206400.

The previous prime is 50459887. The next prime is 50459917. The reversal of 50459904 is 40995405.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 22581504 = 5280^2 + 4752^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278694 + ... + 278874.

Almost surely, 250459904 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 50459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80400229).

50459904 is an abundant number, since it is smaller than the sum of its proper divisors (110340554).

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

50459904 is a wasteful number, since it uses less digits than its factorization.

50459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 50459904 is about 7103.5134968549. The cubic root of 50459904 is about 369.5292381538.

It can be divided in two parts, 50 and 459904, that added together give a palindrome (459954).

The spelling of 50459904 in words is "fifty million, four hundred fifty-nine thousand, nine hundred four".