Search a number
-
+
428465050 = 25213659177
BaseRepresentation
bin11001100010011…
…101101110011010
31002212020021112221
4121202131232122
51334141340200
6110303254254
713421615146
oct3142355632
91085207487
10428465050
111aa948152
12bb5aa38a
136a9c9a20
1440c94226
152793791a
hex1989db9a

428465050 has 24 divisors (see below), whose sum is σ = 858249756. Its totient is φ = 158202240.

The previous prime is 428465033. The next prime is 428465057. The reversal of 428465050 is 50564824.

428465050 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 127893481 + 300571569 = 11309^2 + 17337^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428464997 and 428465015.

It is not an unprimeable number, because it can be changed into a prime (428465057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328939 + ... + 330238.

Almost surely, 2428465050 is an apocalyptic number.

428465050 is an abundant number, since it is smaller than the sum of its proper divisors (429784706).

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

428465050 is a wasteful number, since it uses less digits than its factorization.

428465050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659202 (or 659197 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 428465050 is about 20699.3973342221. The cubic root of 428465050 is about 753.8850551936.

The spelling of 428465050 in words is "four hundred twenty-eight million, four hundred sixty-five thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 659177 1318354 3295885 6591770 8569301 16479425 17138602 32958850 42846505 85693010 214232525 428465050