Base | Representation |
---|---|
bin | 11001100010001… |
… | …101001111110000 |
3 | 1002212002211222000 |
4 | 121202031033300 |
5 | 1334132210202 |
6 | 110302014000 |
7 | 13421214312 |
oct | 3142151760 |
9 | 1085084860 |
10 | 428397552 |
11 | 1aa901470 |
12 | bb577300 |
13 | 6a9a509b |
14 | 40c777b2 |
15 | 2792291c |
hex | 1988d3f0 |
428397552 has 160 divisors (see below), whose sum is σ = 1420623360. Its totient is φ = 122158080.
The previous prime is 428397551. The next prime is 428397559. The reversal of 428397552 is 255793824.
428397552 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 97 + 552 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 428397498 and 428397507.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (428397551) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78133 + ... + 83435.
It is an arithmetic number, because the mean of its divisors is an integer number (8878896).
Almost surely, 2428397552 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 428397552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).
428397552 is an abundant number, since it is smaller than the sum of its proper divisors (992225808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428397552 is a wasteful number, since it uses less digits than its factorization.
428397552 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5348 (or 5336 counting only the distinct ones).
The product of its digits is 604800, while the sum is 45.
The square root of 428397552 is about 20697.7668360623. The cubic root of 428397552 is about 753.8454654956.
The spelling of 428397552 in words is "four hundred twenty-eight million, three hundred ninety-seven thousand, five hundred fifty-two".
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