Search a number
-
+
5363856 = 24321932
BaseRepresentation
bin10100011101100010010000
3101002111211100
4110131202100
52333120411
6310544400
763410031
oct24354220
911074740
105363856
113033a43
121968100
13115a5a4
149d8a88
1570e456
hex51d890

5363856 has 45 divisors (see below), whose sum is σ = 15089529. Its totient is φ = 1778688.

The previous prime is 5363849. The next prime is 5363861. The reversal of 5363856 is 6583635.

The square root of 5363856 is 2316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1299600 + 4064256 = 1140^2 + 2016^2 .

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

Its product of digits (64800) is a multiple of the sum of its prime factors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 5363856.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27696 + ... + 27888.

Almost surely, 25363856 is an apocalyptic number.

5363856 is the 2316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5363856

5363856 is an abundant number, since it is smaller than the sum of its proper divisors (9725673).

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

5363856 is a wasteful number, since it uses less digits than its factorization.

5363856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 198 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The cubic root of 5363856 is about 175.0487592024.

Multiplying 5363856 by its sum of digits (36), we get a square (193098816 = 138962).

5363856 divided by its sum of digits (36) gives a square (148996 = 3862).

The spelling of 5363856 in words is "five million, three hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 13896 27792 37249 74498 111747 148996 223494 297992 335241 446988 595984 670482 893976 1340964 1787952 2681928 5363856