Search a number
-
+
428794416 = 24322977739
BaseRepresentation
bin11001100011101…
…110001000110000
31002212212000100200
4121203232020300
51334232410131
6110314315200
713424456331
oct3143561060
91085760320
10428794416
11200052656
12bb728b00
136aab390b
1440d3c288
15279a02e6
hex198ee230

428794416 has 30 divisors (see below), whose sum is σ = 1200029220. Its totient is φ = 142931424.

The previous prime is 428794403. The next prime is 428794463. The reversal of 428794416 is 614497824.

It is an unprimeable number.

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, 1488726 + ... + 1489013.

It is an arithmetic number, because the mean of its divisors is an integer number (40000974).

Almost surely, 2428794416 is an apocalyptic number.

It is an amenable number.

428794416 is an abundant number, since it is smaller than the sum of its proper divisors (771234804).

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

428794416 is a wasteful number, since it uses less digits than its factorization.

428794416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977753 (or 2977744 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 428794416 is about 20707.3517379698. The cubic root of 428794416 is about 754.0781790804.

The spelling of 428794416 in words is "four hundred twenty-eight million, seven hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2977739 5955478 8933217 11910956 17866434 23821912 26799651 35732868 47643824 53599302 71465736 107198604 142931472 214397208 428794416