Search a number
-
+
545336064 = 2834713172
BaseRepresentation
bin100000100000010…
…010101100000000
31102000010221110000
4200200102230000
52104101223224
6130040240000
716341165030
oct4040225400
91360127400
10545336064
1125a912069
12132770000
1388c99680
14525d78c0
1532d210c9
hex20812b00

545336064 has 540 divisors, whose sum is σ = 2125997104. Its totient is φ = 135364608.

The previous prime is 545336063. The next prime is 545336087. The reversal of 545336064 is 460633545.

545336064 is a `hidden beast` number, since 5 + 4 + 533 + 60 + 64 = 666.

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 (545336063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32078584 + ... + 32078600.

Almost surely, 2545336064 is an apocalyptic number.

545336064 is a gapful number since it is divisible by the number (54) 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 545336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062998552).

545336064 is an abundant number, since it is smaller than the sum of its proper divisors (1580661040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545336064 is a wasteful number, since it uses less digits than its factorization.

545336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 545336064 is about 23352.4316506868. The cubic root of 545336064 is about 816.9987770067.

The spelling of 545336064 in words is "five hundred forty-five million, three hundred thirty-six thousand, sixty-four".