Base | Representation |
---|---|
bin | 11001100001000… |
… | …101100011011100 |
3 | 1002211112221011000 |
4 | 121201011203130 |
5 | 1334043311100 |
6 | 110251430300 |
7 | 13415552220 |
oct | 3141054334 |
9 | 1084487130 |
10 | 428103900 |
11 | 1aa720884 |
12 | bb455390 |
13 | 6a901523 |
14 | 40bdc780 |
15 | 278b5900 |
hex | 198458dc |
428103900 has 144 divisors (see below), whose sum is σ = 1572954880. Its totient is φ = 97848000.
The previous prime is 428103889. The next prime is 428103959. The reversal of 428103900 is 9301824.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 7575 + ... + 30225.
Almost surely, 2428103900 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 428103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786477440).
428103900 is an abundant number, since it is smaller than the sum of its proper divisors (1144850980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428103900 is a wasteful number, since it uses less digits than its factorization.
428103900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22681 (or 22668 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 428103900 is about 20690.6718112293. The cubic root of 428103900 is about 753.6731809536.
The spelling of 428103900 in words is "four hundred twenty-eight million, one hundred three thousand, nine hundred".
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