Search a number
-
+
428404824 = 23325950067
BaseRepresentation
bin11001100010001…
…111000001011000
31002212010012221100
4121202033001120
51334132423244
6110302111400
713421244441
oct3142170130
91085105840
10428404824
111aa906981
12bb57b560
136a9a84a3
1440c7a2c8
1527924b69
hex1988f058

428404824 has 24 divisors (see below), whose sum is σ = 1160263260. Its totient is φ = 142801584.

The previous prime is 428404813. The next prime is 428404843.

428404824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 2974962 + ... + 2975105.

Almost surely, 2428404824 is an apocalyptic number.

It is an amenable number.

428404824 is an abundant number, since it is smaller than the sum of its proper divisors (731858436).

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

428404824 is a wasteful number, since it uses less digits than its factorization.

428404824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950079 (or 5950072 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 428404824 is about 20697.9425064425. The cubic root of 428404824 is about 753.8497309520.

The spelling of 428404824 in words is "four hundred twenty-eight million, four hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5950067 11900134 17850201 23800268 35700402 47600536 53550603 71400804 107101206 142801608 214202412 428404824