Base | Representation |
---|---|
bin | 1100100011010… |
… | …0001011010000 |
3 | 10200001111221200 |
4 | 3020310023100 |
5 | 101434030022 |
6 | 5120151200 |
7 | 1206311466 |
oct | 310641320 |
9 | 120044850 |
10 | 52642512 |
11 | 2779610a |
12 | 15768500 |
13 | aba2120 |
14 | 6dc4836 |
15 | 494cbac |
hex | 32342d0 |
52642512 has 120 divisors (see below), whose sum is σ = 161609448. Its totient is φ = 15897600.
The previous prime is 52642507. The next prime is 52642517. The reversal of 52642512 is 21524625.
52642512 is a `hidden beast` number, since 5 + 2 + 642 + 5 + 12 = 666.
It is an interprime number because it is at equal distance from previous prime (52642507) and next prime (52642517).
It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 50637456 = 1416^2 + 7116^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (52642517) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113962 + ... + 114422.
Almost surely, 252642512 is an apocalyptic number.
52642512 is a gapful number since it is divisible by the number (52) 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 52642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80804724).
52642512 is an abundant number, since it is smaller than the sum of its proper divisors (108966936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52642512 is a wasteful number, since it uses less digits than its factorization.
52642512 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 549 (or 540 counting only the distinct ones).
The product of its digits is 4800, while the sum is 27.
The square root of 52642512 is about 7255.5159706254. The cubic root of 52642512 is about 374.7821241048.
It can be divided in two parts, 5264 and 2512, that added together give a 5-th power (7776 = 65).
The spelling of 52642512 in words is "fifty-two million, six hundred forty-two thousand, five hundred twelve".
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