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5742256 = 2413191453
BaseRepresentation
bin10101111001111010110000
3101210201220011
4111321322300
52432223011
6323024304
766544162
oct25717260
911721804
105742256
113272273
121b0b094
1312608b0
14a96932
15786621
hex579eb0

5742256 has 40 divisors (see below), whose sum is σ = 12620720. Its totient is φ = 2509056.

The previous prime is 5742239. The next prime is 5742257. The reversal of 5742256 is 6522475.

5742256 = T80 + T81 + ... + T326.

It is not an unprimeable number, because it can be changed into a prime (5742257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3226 + ... + 4678.

It is an arithmetic number, because the mean of its divisors is an integer number (315518).

Almost surely, 25742256 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 5742256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310360).

5742256 is an abundant number, since it is smaller than the sum of its proper divisors (6878464).

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

5742256 is a wasteful number, since it uses less digits than its factorization.

5742256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its digits is 16800, while the sum is 31.

The square root of 5742256 is about 2396.3004819930. The cubic root of 5742256 is about 179.0719309755.

The spelling of 5742256 in words is "five million, seven hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1453 1976 2906 3952 5812 11624 18889 23248 27607 37778 55214 75556 110428 151112 220856 302224 358891 441712 717782 1435564 2871128 5742256