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5819296 = 25783313
BaseRepresentation
bin10110001100101110100000
3101221122120111
4112030232200
52442204141
6324421104
7100314610
oct26145640
911848514
105819296
11331513a
121b47794
131289992
14ab6a40
1579e381
hex58cba0

5819296 has 48 divisors (see below), whose sum is σ = 13293504. Its totient is φ = 2456064.

The previous prime is 5819293. The next prime is 5819327. The reversal of 5819296 is 6929185.

Its product of digits (38880) is a multiple of the sum of its prime divisors (405).

It is not an unprimeable number, because it can be changed into a prime (5819291) 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, 18436 + ... + 18748.

It is an arithmetic number, because the mean of its divisors is an integer number (276948).

Almost surely, 25819296 is an apocalyptic number.

5819296 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 5819296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646752).

5819296 is an abundant number, since it is smaller than the sum of its proper divisors (7474208).

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

5819296 is a wasteful number, since it uses less digits than its factorization.

5819296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 38880, while the sum is 40.

The square root of 5819296 is about 2412.3217032560. The cubic root of 5819296 is about 179.8692053944.

It can be divided in two parts, 581 and 9296, that multiplied together give a square (5400976 = 23242).

The spelling of 5819296 in words is "five million, eight hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 313 332 581 626 664 1162 1252 1328 2191 2324 2504 2656 4382 4648 5008 8764 9296 10016 17528 18592 25979 35056 51958 70112 103916 181853 207832 363706 415664 727412 831328 1454824 2909648 5819296