Search a number
-
+
5624256 = 263112663
BaseRepresentation
bin10101011101000111000000
3101120202000210
4111131013000
52414434011
6320314120
765543151
oct25350700
911522023
105624256
1131a1650
121a72940
13121bc81
14a65928
157616a6
hex55d1c0

5624256 has 56 divisors (see below), whose sum is σ = 16239744. Its totient is φ = 1703680.

The previous prime is 5624251. The next prime is 5624273. The reversal of 5624256 is 6524265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5624251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 3443.

Almost surely, 25624256 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 5624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872).

5624256 is an abundant number, since it is smaller than the sum of its proper divisors (10615488).

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

5624256 is a wasteful number, since it uses less digits than its factorization.

5624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2679 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5624256 is about 2371.5513909675. The cubic root of 5624256 is about 177.8368239051.

Subtracting 5624256 from its reverse (6524265), we obtain a palindrome (900009).

The spelling of 5624256 in words is "five million, six hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2663 5326 7989 10652 15978 21304 29293 31956 42608 58586 63912 85216 87879 117172 127824 170432 175758 234344 255648 351516 468688 511296 703032 937376 1406064 1874752 2812128 5624256