Base | Representation |
---|---|
bin | 1111010110001… |
… | …0000000000000 |
3 | 11111010001120000 |
4 | 3311202000000 |
5 | 112434131134 |
6 | 10215320000 |
7 | 1411042506 |
oct | 365420000 |
9 | 144101500 |
10 | 64364544 |
11 | 33372042 |
12 | 19680000 |
13 | 1044773a |
14 | 8796676 |
15 | 59b5e99 |
hex | 3d62000 |
64364544 has 140 divisors (see below), whose sum is σ = 194269614. Its totient is φ = 21233664.
The previous prime is 64364527. The next prime is 64364549. The reversal of 64364544 is 44546346.
64364544 is a `hidden beast` number, since 6 + 4 + 3 + 645 + 4 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 56070144 + 8294400 = 7488^2 + 2880^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (138240) is a multiple of the sum of its prime factors (135).
It is a junction number, because it is equal to n+sod(n) for n = 64364499 and 64364508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64364549) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663504 + ... + 663600.
Almost surely, 264364544 is an apocalyptic number.
64364544 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 64364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97134807).
64364544 is an abundant number, since it is smaller than the sum of its proper divisors (129905070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64364544 is an frugal number, since it uses more digits than its factorization.
64364544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 102 counting only the distinct ones).
The product of its digits is 138240, while the sum is 36.
The square root of 64364544 is about 8022.7516476581. The cubic root of 64364544 is about 400.7580292384.
The spelling of 64364544 in words is "sixty-four million, three hundred sixty-four thousand, five hundred forty-four".
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