Search a number
-
+
5256416 = 2511109137
BaseRepresentation
bin10100000011010011100000
3100220001110002
4110003103200
52321201131
6304355132
762451554
oct24032340
910801402
105256416
112a70250
121915aa8
131120709
149ab864
156dc6cb
hex5034e0

5256416 has 48 divisors (see below), whose sum is σ = 11476080. Its totient is φ = 2350080.

The previous prime is 5256413. The next prime is 5256463. The reversal of 5256416 is 6146525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256413) 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, 38300 + ... + 38436.

It is an arithmetic number, because the mean of its divisors is an integer number (239085).

Almost surely, 25256416 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 5256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738040).

5256416 is an abundant number, since it is smaller than the sum of its proper divisors (6219664).

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

5256416 is a wasteful number, since it uses less digits than its factorization.

5256416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 5256416 is about 2292.6875059633. The cubic root of 5256416 is about 173.8721040157.

The spelling of 5256416 in words is "five million, two hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 137 176 218 274 352 436 548 872 1096 1199 1507 1744 2192 2398 3014 3488 4384 4796 6028 9592 12056 14933 19184 24112 29866 38368 48224 59732 119464 164263 238928 328526 477856 657052 1314104 2628208 5256416