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5762768 = 2411137239
BaseRepresentation
bin10101111110111011010000
3101211210000212
4111332323100
52433402033
6323303252
766661034
oct25767320
911753025
105762768
113286720
121b1ab28
13126a02b
14aa01c4
1578c748
hex57eed0

5762768 has 40 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 2589440.

The previous prime is 5762759. The next prime is 5762777. The reversal of 5762768 is 8672675.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5762759) and next prime (5762777).

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, 23993 + ... + 24231.

It is an arithmetic number, because the mean of its divisors is an integer number (308016).

Almost surely, 25762768 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 5762768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

5762768 is an abundant number, since it is smaller than the sum of its proper divisors (6557872).

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

5762768 is a wasteful number, since it uses less digits than its factorization.

5762768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 5762768 is about 2400.5765974032. The cubic root of 5762768 is about 179.2848994499.

The spelling of 5762768 in words is "five million, seven hundred sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 239 274 478 548 956 1096 1507 1912 2192 2629 3014 3824 5258 6028 10516 12056 21032 24112 32743 42064 65486 130972 261944 360173 523888 720346 1440692 2881384 5762768