Base | Representation |
---|---|
bin | 1111010000010… |
… | …1001011110111 |
3 | 11110101202001200 |
4 | 3310011023313 |
5 | 112340000000 |
6 | 10203223543 |
7 | 1404600240 |
oct | 364051367 |
9 | 143352050 |
10 | 63984375 |
11 | 33132454 |
12 | 19517bb3 |
13 | 103436a0 |
14 | 86d7cc7 |
15 | 593d500 |
hex | 3d052f7 |
63984375 has 96 divisors (see below), whose sum is σ = 142187136. Its totient is φ = 27000000.
The previous prime is 63984373. The next prime is 63984377. The reversal of 63984375 is 57348936.
63984375 is a `hidden beast` number, since 639 + 8 + 4 + 3 + 7 + 5 = 666.
It is an interprime number because it is at equal distance from previous prime (63984373) and next prime (63984377).
It is not a de Polignac number, because 63984375 - 21 = 63984373 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
Its product of digits (544320) is a multiple of the sum of its prime divisors (28).
It is a self number, because there is not a number n which added to its sum of digits gives 63984375.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63984373) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4921869 + ... + 4921881.
It is an arithmetic number, because the mean of its divisors is an integer number (1481116).
Almost surely, 263984375 is an apocalyptic number.
63984375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.
63984375 is an abundant number, since it is smaller than the sum of its proper divisors (78202761).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63984375 is an frugal number, since it uses more digits than its factorization.
63984375 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 28 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The square root of 63984375 is about 7999.0233778881. The cubic root of 63984375 is about 399.9674452672.
It can be divided in two parts, 63 and 984375, that multiplied together give a square (62015625 = 78752).
The spelling of 63984375 in words is "sixty-three million, nine hundred eighty-four thousand, three hundred seventy-five".
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