Search a number
-
+
5436864 = 26329439
BaseRepresentation
bin10100101111010111000000
3101020012222100
4110233113000
52342434424
6312310400
764132626
oct24572700
911205870
105436864
113083884
1219a2400
1311848a4
14a17516
15725dc9
hex52f5c0

5436864 has 42 divisors (see below), whose sum is σ = 15585440. Its totient is φ = 1812096.

The previous prime is 5436863. The next prime is 5436881. The reversal of 5436864 is 4686345.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 42 + 313 + 63 + 87 + 68 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436863) 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 5 ways as a sum of consecutive naturals, for example, 4144 + ... + 5295.

Almost surely, 25436864 is an apocalyptic number.

It is an amenable number.

5436864 is an abundant number, since it is smaller than the sum of its proper divisors (10148576).

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

5436864 is a wasteful number, since it uses less digits than its factorization.

5436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9444 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5436864 is about 2331.7083865698. The cubic root of 5436864 is about 175.8393851504.

The spelling of 5436864 in words is "five million, four hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9439 18878 28317 37756 56634 75512 84951 113268 151024 169902 226536 302048 339804 453072 604096 679608 906144 1359216 1812288 2718432 5436864