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428024808 = 23325944789
BaseRepresentation
bin11001100000110…
…010001111101000
31002211101220122200
4121200302033220
51334033243213
6110250020200
713415102511
oct3140621750
91084356580
10428024808
111aa677412
12bb417660
136a8a4523
1440bbba08
152789c273
hex198323e8

428024808 has 24 divisors (see below), whose sum is σ = 1159234050. Its totient is φ = 142674912.

The previous prime is 428024803. The next prime is 428024809. The reversal of 428024808 is 808420824.

It can be written as a sum of positive squares in only one way, i.e., 412008804 + 16016004 = 20298^2 + 4002^2 .

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 (428024803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2972323 + ... + 2972466.

Almost surely, 2428024808 is an apocalyptic number.

It is an amenable number.

428024808 is an abundant number, since it is smaller than the sum of its proper divisors (731209242).

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

428024808 is a wasteful number, since it uses less digits than its factorization.

428024808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944801 (or 5944794 counting only the distinct ones).

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

The square root of 428024808 is about 20688.7604268598. The cubic root of 428024808 is about 753.6267645031.

The spelling of 428024808 in words is "four hundred twenty-eight million, twenty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5944789 11889578 17834367 23779156 35668734 47558312 53503101 71337468 107006202 142674936 214012404 428024808