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428284008 = 23325948389
BaseRepresentation
bin11001100001110…
…001100001101000
31002211220002012200
4121201301201220
51334120042013
6110255340200
713420232265
oct3141614150
91084802180
10428284008
111aa834129
12bb521660
136a9654b9
1440c4826c
15278ede73
hex19871868

428284008 has 24 divisors (see below), whose sum is σ = 1159936050. Its totient is φ = 142761312.

The previous prime is 428284007. The next prime is 428284027. The reversal of 428284008 is 800482824.

It can be written as a sum of positive squares in only one way, i.e., 243921924 + 184362084 = 15618^2 + 13578^2 .

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 not an unprimeable number, because it can be changed into a prime (428284001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2974123 + ... + 2974266.

Almost surely, 2428284008 is an apocalyptic number.

It is an amenable number.

428284008 is an abundant number, since it is smaller than the sum of its proper divisors (731652042).

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

428284008 is a wasteful number, since it uses less digits than its factorization.

428284008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948401 (or 5948394 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 428284008 is about 20695.0237496844. The cubic root of 428284008 is about 753.7788589893.

The spelling of 428284008 in words is "four hundred twenty-eight million, two hundred eighty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5948389 11896778 17845167 23793556 35690334 47587112 53535501 71380668 107071002 142761336 214142004 428284008