Base | Representation |
---|---|
bin | 1111000011100… |
… | …1010100110100 |
3 | 11101211022122100 |
4 | 3300321110310 |
5 | 112131234424 |
6 | 10133302100 |
7 | 1364521635 |
oct | 360712464 |
9 | 141738570 |
10 | 63149364 |
11 | 32712063 |
12 | 19194930 |
13 | 101105b5 |
14 | 855b88c |
15 | 5825dc9 |
hex | 3c39534 |
63149364 has 36 divisors (see below), whose sum is σ = 160245540. Its totient is φ = 20968320.
The previous prime is 63149351. The next prime is 63149377. The reversal of 63149364 is 46394136.
63149364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (63149351) and next prime (63149377).
It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 32012964 = 5580^2 + 5658^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
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 11 ways as a sum of consecutive naturals, for example, 6424 + ... + 12944.
It is an arithmetic number, because the mean of its divisors is an integer number (4451265).
Almost surely, 263149364 is an apocalyptic number.
It is an amenable number.
63149364 is an abundant number, since it is smaller than the sum of its proper divisors (97096176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63149364 is a wasteful number, since it uses less digits than its factorization.
63149364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6800 (or 6795 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 63149364 is about 7946.6574105092. The cubic root of 63149364 is about 398.2199318106.
The spelling of 63149364 in words is "sixty-three million, one hundred forty-nine thousand, three hundred sixty-four".
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