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5744256 = 27372137
BaseRepresentation
bin10101111010011010000000
3101210211122020
4111322122000
52432304011
6323041440
766553050
oct25723200
911724566
105744256
113273821
121b10280
13126178b
14a97560
15787006
hex57a680

5744256 has 64 divisors (see below), whose sum is σ = 17446080. Its totient is φ = 1640448.

The previous prime is 5744239. The next prime is 5744261. The reversal of 5744256 is 6524475.

5744256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620 + ... + 3756.

It is an arithmetic number, because the mean of its divisors is an integer number (272595).

Almost surely, 25744256 is an apocalyptic number.

5744256 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 5744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723040).

5744256 is an abundant number, since it is smaller than the sum of its proper divisors (11701824).

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

5744256 is a wasteful number, since it uses less digits than its factorization.

5744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 5744256 is about 2396.7177555983. The cubic root of 5744256 is about 179.0927185248.

The spelling of 5744256 in words is "five million, seven hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2137 2688 4274 6411 8548 12822 14959 17096 25644 29918 34192 44877 51288 59836 68384 89754 102576 119672 136768 179508 205152 239344 273536 359016 410304 478688 718032 820608 957376 1436064 1914752 2872128 5744256