Base | Representation |
---|---|
bin | 1100101000000… |
… | …0110011001000 |
3 | 10200122110110200 |
4 | 3022000303020 |
5 | 102024100420 |
6 | 5131012200 |
7 | 1212056502 |
oct | 312006310 |
9 | 120573420 |
10 | 52956360 |
11 | 2798a996 |
12 | 1589a060 |
13 | ac81c32 |
14 | 7066d72 |
15 | 49b0b90 |
hex | 3280cc8 |
52956360 has 144 divisors (see below), whose sum is σ = 183186900. Its totient is φ = 13264896.
The previous prime is 52956353. The next prime is 52956367. The reversal of 52956360 is 6365925.
52956360 is a `hidden beast` number, since 5 + 295 + 6 + 360 = 666.
It is an interprime number because it is at equal distance from previous prime (52956353) and next prime (52956367).
It can be written as a sum of positive squares in 6 ways, for example, as 45239076 + 7717284 = 6726^2 + 2778^2 .
It is a super-3 number, since 3×529563603 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (52956367) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103786 + ... + 104294.
Almost surely, 252956360 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 52956360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91593450).
52956360 is an abundant number, since it is smaller than the sum of its proper divisors (130230540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52956360 is a wasteful number, since it uses less digits than its factorization.
52956360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 560 (or 536 counting only the distinct ones).
The product of its (nonzero) digits is 48600, while the sum is 36.
The square root of 52956360 is about 7277.1120645487. The cubic root of 52956360 is about 375.5254500621.
The spelling of 52956360 in words is "fifty-two million, nine hundred fifty-six thousand, three hundred sixty".
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