Base | Representation |
---|---|
bin | 11001100001111… |
… | …100000010111100 |
3 | 1002211222021022200 |
4 | 121201330002330 |
5 | 1334122431400 |
6 | 110300311500 |
7 | 13420502025 |
oct | 3141740274 |
9 | 1084867280 |
10 | 428327100 |
11 | 1aa863543 |
12 | bb542590 |
13 | 6a97bcb6 |
14 | 40c59c4c |
15 | 2790bb00 |
hex | 1987c0bc |
428327100 has 108 divisors (see below), whose sum is σ = 1388947560. Its totient is φ = 110275200.
The previous prime is 428327077. The next prime is 428327101. The reversal of 428327100 is 1723824.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (428327101) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17895 + ... + 34305.
Almost surely, 2428327100 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 428327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694473780).
428327100 is an abundant number, since it is smaller than the sum of its proper divisors (960620460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428327100 is a wasteful number, since it uses less digits than its factorization.
428327100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16460 (or 16450 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 428327100 is about 20696.0648433464. The cubic root of 428327100 is about 753.8041387481.
The spelling of 428327100 in words is "four hundred twenty-eight million, three hundred twenty-seven thousand, one hundred".
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