| Base | Representation |
|---|---|
| bin | 1111101111100100000 |
| 3 | 222012122101 |
| 4 | 1331330200 |
| 5 | 113001442 |
| 6 | 15020144 |
| 7 | 4246000 |
| oct | 1757440 |
| 9 | 865571 |
| 10 | 515872 |
| 11 | 322645 |
| 12 | 20a654 |
| 13 | 150a66 |
| 14 | d6000 |
| 15 | a2cb7 |
| hex | 7df20 |
515872 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 216384.
The previous prime is 515861. The next prime is 515873. The reversal of 515872 is 278515.
It is a super-2 number, since 2×5158722 = 532247840768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
Its product of digits (2800) is a multiple of the sum of its prime divisors (56).
It is a nialpdrome in base 14.
It is a self number, because there is not a number n which added to its sum of digits gives 515872.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (515873) by changing a digit.
515872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
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, 10953 + ... + 10999.
It is an arithmetic number, because the mean of its divisors is an integer number (25200).
2515872 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 515872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).
515872 is an abundant number, since it is smaller than the sum of its proper divisors (693728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
515872 is an equidigital number, since it uses as much as digits as its factorization.
515872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 56 counting only the distinct ones).
The product of its digits is 2800, while the sum is 28.
The square root of 515872 is about 718.2422989493. The cubic root of 515872 is about 80.2011604238.
The spelling of 515872 in words is "five hundred fifteen thousand, eight hundred seventy-two".
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