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5763296 = 257112339
BaseRepresentation
bin10101111111000011100000
3101211210202102
4111333003200
52433411141
6323305532
766662420
oct25770340
911753672
105763296
113287060
121b1b2a8
13126a346
14aa0480
1578c99b
hex57f0e0

5763296 has 48 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 2244480.

The previous prime is 5763293. The next prime is 5763299. The reversal of 5763296 is 6923675.

It is an interprime number because it is at equal distance from previous prime (5763293) and next prime (5763299).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5763293) 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, 1295 + ... + 3633.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 25763296 is an apocalyptic number.

5763296 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 5763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5763296 is an abundant number, since it is smaller than the sum of its proper divisors (8389024).

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

5763296 is a wasteful number, since it uses less digits than its factorization.

5763296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 5763296 is about 2400.6865684633. The cubic root of 5763296 is about 179.2903748011.

The spelling of 5763296 in words is "five million, seven hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2339 2464 4678 9356 16373 18712 25729 32746 37424 51458 65492 74848 102916 130984 180103 205832 261968 360206 411664 523936 720412 823328 1440824 2881648 5763296