Base | Representation |
---|---|
bin | 110000100000… |
… | …0000110100000 |
3 | 1202211220012000 |
4 | 1201000012200 |
5 | 23002202014 |
6 | 2305004000 |
7 | 426065142 |
oct | 141000640 |
9 | 52756160 |
10 | 25428384 |
11 | 133987a3 |
12 | 8623600 |
13 | 53641a7 |
14 | 353cc92 |
15 | 2374509 |
hex | 18401a0 |
25428384 has 96 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 8024832.
The previous prime is 25428373. The next prime is 25428397. The reversal of 25428384 is 48382452.
25428384 is a `hidden beast` number, since 254 + 28 + 384 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15642 + ... + 17190.
It is an arithmetic number, because the mean of its divisors is an integer number (813750).
Almost surely, 225428384 is an apocalyptic number.
25428384 is a gapful number since it is divisible by the number (24) 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 25428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).
25428384 is an abundant number, since it is smaller than the sum of its proper divisors (52691616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
25428384 is a wasteful number, since it uses less digits than its factorization.
25428384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).
The product of its digits is 61440, while the sum is 36.
The square root of 25428384 is about 5042.6564427889. The cubic root of 25428384 is about 294.0624606984.
The spelling of 25428384 in words is "twenty-five million, four hundred twenty-eight thousand, three hundred eighty-four".
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