Base | Representation |
---|---|
bin | 10001000010101… |
… | …101110000111000 |
3 | 201221000110112220 |
4 | 101002231300320 |
5 | 1041144040113 |
6 | 44212204040 |
7 | 10041213600 |
oct | 2102556070 |
9 | 657013486 |
10 | 285924408 |
11 | 137440270 |
12 | 7b909620 |
13 | 47310153 |
14 | 29d8bc00 |
15 | 1a17d523 |
hex | 110adc38 |
285924408 has 288 divisors, whose sum is σ = 978065280. Its totient is φ = 68745600.
The previous prime is 285924403. The next prime is 285924413. The reversal of 285924408 is 804429582.
285924408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (285924403) and next prime (285924413).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a self number, because there is not a number n which added to its sum of digits gives 285924408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (285924403) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9223353 + ... + 9223383.
It is an arithmetic number, because the mean of its divisors is an integer number (3396060).
Almost surely, 2285924408 is an apocalyptic number.
285924408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 285924408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489032640).
285924408 is an abundant number, since it is smaller than the sum of its proper divisors (692140872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285924408 is a wasteful number, since it uses less digits than its factorization.
285924408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 184320, while the sum is 42.
The square root of 285924408 is about 16909.2994532594. The cubic root of 285924408 is about 658.7951756793.
The spelling of 285924408 in words is "two hundred eighty-five million, nine hundred twenty-four thousand, four hundred eight".
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