| Base | Representation |
|---|---|
| bin | 1001110110000111011000 |
| 3 | 11212010101211 |
| 4 | 21312013120 |
| 5 | 1130042302 |
| 6 | 131152504 |
| 7 | 30636433 |
| oct | 11660730 |
| 9 | 4763354 |
| 10 | 2580952 |
| 11 | 1503120 |
| 12 | a45734 |
| 13 | 6c49ba |
| 14 | 4b281a |
| 15 | 35ead7 |
| hex | 2761d8 |
2580952 has 32 divisors (see below), whose sum is σ = 5342400. Its totient is φ = 1159200.
The previous prime is 2580937. The next prime is 2580953. The reversal of 2580952 is 2590852.
It is a happy number.
2580952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×25809522 = 13322626452608, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2580953) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12127 + ... + 12337.
It is an arithmetic number, because the mean of its divisors is an integer number (166950).
22580952 is an apocalyptic number.
2580952 is a gapful number since it is divisible by the number (22) 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 2580952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671200).
2580952 is an abundant number, since it is smaller than the sum of its proper divisors (2761448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2580952 is a wasteful number, since it uses less digits than its factorization.
2580952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 367 (or 363 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 31.
The square root of 2580952 is about 1606.5341577446. The cubic root of 2580952 is about 137.1702644464.
Subtracting from 2580952 its product of nonzero digits (7200), we obtain a palindrome (2573752).
The spelling of 2580952 in words is "two million, five hundred eighty thousand, nine hundred fifty-two".
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