Search a number
-
+
5478816 = 253731263
BaseRepresentation
bin10100111001100110100000
3101022100112010
4110321212200
52400310231
6313232520
764366140
oct24714640
911270463
105478816
113102352
121a02740
13119aa05
14a28920
15733546
hex5399a0

5478816 has 96 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 1509120.

The previous prime is 5478787. The next prime is 5478817. The reversal of 5478816 is 6188745.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5478817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20701 + ... + 20963.

It is an arithmetic number, because the mean of its divisors is an integer number (177408).

Almost surely, 25478816 is an apocalyptic number.

5478816 is a gapful number since it is divisible by the number (56) 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 5478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515584).

5478816 is an abundant number, since it is smaller than the sum of its proper divisors (11552352).

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

5478816 is a wasteful number, since it uses less digits than its factorization.

5478816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 5478816 is about 2340.6870786160. The cubic root of 5478816 is about 176.2904982135.

The spelling of 5478816 in words is "five million, four hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 263 336 372 434 496 526 651 672 744 789 868 992 1052 1302 1488 1578 1736 1841 2104 2604 2976 3156 3472 3682 4208 5208 5523 6312 6944 7364 8153 8416 10416 11046 12624 14728 16306 20832 22092 24459 25248 29456 32612 44184 48918 57071 58912 65224 88368 97836 114142 130448 171213 176736 195672 228284 260896 342426 391344 456568 684852 782688 913136 1369704 1826272 2739408 5478816