| Base | Representation |
|---|---|
| bin | 1111001000101… |
| … | …1100011000000 |
| 3 | 11102110102121200 |
| 4 | 3302023203000 |
| 5 | 112223024034 |
| 6 | 10144421200 |
| 7 | 1400423541 |
| oct | 362134300 |
| 9 | 142412550 |
| 10 | 63486144 |
| 11 | 32922097 |
| 12 | 19317800 |
| 13 | 101ca987 |
| 14 | 86084c8 |
| 15 | 5890a99 |
| hex | 3c8b8c0 |
63486144 has 84 divisors (see below), whose sum is σ = 191582040. Its totient is φ = 20044800.
The previous prime is 63486139. The next prime is 63486149. The reversal of 63486144 is 44168436.
63486144 is a `hidden beast` number, since 6 + 34 + 8 + 614 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (63486139) and next prime (63486149).
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 junction number, because it is equal to n+sod(n) for n = 63486099 and 63486108.
It is not an unprimeable number, because it can be changed into a prime (63486149) 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 11 ways as a sum of consecutive naturals, for example, 8044 + ... + 13844.
Almost surely, 263486144 is an apocalyptic number.
63486144 is a gapful number since it is divisible by the number (64) 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 63486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95791020).
63486144 is an abundant number, since it is smaller than the sum of its proper divisors (128095896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63486144 is a wasteful number, since it uses less digits than its factorization.
63486144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 63486144 is about 7967.8192750589. The cubic root of 63486144 is about 398.9265887139.
The spelling of 63486144 in words is "sixty-three million, four hundred eighty-six thousand, one hundred forty-four".
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