Base | Representation |
---|---|
bin | 1010100001101000… |
… | …0001110011110000 |
3 | 21021220110221220120 |
4 | 2220122001303300 |
5 | 21241300123230 |
6 | 1144210010240 |
7 | 130005315330 |
oct | 25032016360 |
9 | 7256427816 |
10 | 2825395440 |
11 | 121a95345a |
12 | 66a276980 |
13 | 36047c42a |
14 | 1cb3550c0 |
15 | 1180a4310 |
hex | a8681cf0 |
2825395440 has 160 divisors (see below), whose sum is σ = 10445331456. Its totient is φ = 617717760.
The previous prime is 2825395429. The next prime is 2825395451. The reversal of 2825395440 is 445935282.
It is an interprime number because it is at equal distance from previous prime (2825395429) and next prime (2825395451).
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 2825395392 and 2825395401.
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 31 ways as a sum of consecutive naturals, for example, 2080 + ... + 75200.
Almost surely, 22825395440 is an apocalyptic number.
2825395440 is a gapful number since it is divisible by the number (20) 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 2825395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222665728).
2825395440 is an abundant number, since it is smaller than the sum of its proper divisors (7619936016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2825395440 is a wasteful number, since it uses less digits than its factorization.
2825395440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73167 (or 73161 counting only the distinct ones).
The product of its (nonzero) digits is 345600, while the sum is 42.
The square root of 2825395440 is about 53154.4489201045. The cubic root of 2825395440 is about 1413.7081009440.
The spelling of 2825395440 in words is "two billion, eight hundred twenty-five million, three hundred ninety-five thousand, four hundred forty".
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