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5649768 = 2332131599
BaseRepresentation
bin10101100011010101101000
3101122001000200
4111203111220
52421243033
6321032200
766010425
oct25432550
911561020
105649768
113209833
121a85660
13122a777
14a70d4c
15769013
hex563568

5649768 has 48 divisors (see below), whose sum is σ = 15444000. Its totient is φ = 1865760.

The previous prime is 5649757. The next prime is 5649769. The reversal of 5649768 is 8679465.

It is not an unprimeable number, because it can be changed into a prime (5649769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9133 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (321750).

Almost surely, 25649768 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 5649768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722000).

5649768 is an abundant number, since it is smaller than the sum of its proper divisors (9794232).

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

5649768 is a wasteful number, since it uses less digits than its factorization.

5649768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5649768 is about 2376.9240627332. The cubic root of 5649768 is about 178.1053115820.

It can be divided in two parts, 56497 and 68, that added together give a palindrome (56565).

The spelling of 5649768 in words is "five million, six hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 599 786 1048 1179 1198 1572 1797 2358 2396 3144 3594 4716 4792 5391 7188 9432 10782 14376 21564 43128 78469 156938 235407 313876 470814 627752 706221 941628 1412442 1883256 2824884 5649768