Search a number
-
+
5204864 = 27737157
BaseRepresentation
bin10011110110101110000000
3100210102201202
4103312232000
52313023424
6303320332
762145350
oct23665600
910712652
105204864
112a35545
1218b00a8
131103102
14996b60
156cc2ae
hex4f6b80

5204864 has 64 divisors (see below), whose sum is σ = 12248160. Its totient is φ = 2156544.

The previous prime is 5204821. The next prime is 5204867. The reversal of 5204864 is 4684025.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204867) 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 7 ways as a sum of consecutive naturals, for example, 33074 + ... + 33230.

Almost surely, 25204864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124080).

5204864 is an abundant number, since it is smaller than the sum of its proper divisors (7043296).

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

5204864 is a wasteful number, since it uses less digits than its factorization.

5204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5204864 is about 2281.4171034688. The cubic root of 5204864 is about 173.3018220166.

Adding to 5204864 its reverse (4684025), we get a palindrome (9888889).

The spelling of 5204864 in words is "five million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 157 224 259 296 314 448 518 592 628 896 1036 1099 1184 1256 2072 2198 2368 2512 4144 4396 4736 5024 5809 8288 8792 10048 11618 16576 17584 20096 23236 33152 35168 40663 46472 70336 81326 92944 140672 162652 185888 325304 371776 650608 743552 1301216 2602432 5204864