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5782968 = 233341653
BaseRepresentation
bin10110000011110110111000
3101212210202000
4112003312320
52440023333
6323541000
7100103652
oct26036670
911783660
105782968
11329a914
121b2a760
131276299
14aa76d2
15793713
hex583db8

5782968 has 64 divisors (see below), whose sum is σ = 16480800. Its totient is φ = 1877760.

The previous prime is 5782951. The next prime is 5782969. The reversal of 5782968 is 8692875.

5782968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530 + ... + 9182.

Almost surely, 25782968 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 5782968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240400).

5782968 is an abundant number, since it is smaller than the sum of its proper divisors (10697832).

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

5782968 is a wasteful number, since it uses less digits than its factorization.

5782968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5782968 is about 2404.7802394398. The cubic root of 5782968 is about 179.4941352253.

The spelling of 5782968 in words is "five million, seven hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 653 738 984 1107 1306 1476 1959 2214 2612 2952 3918 4428 5224 5877 7836 8856 11754 15672 17631 23508 26773 35262 47016 53546 70524 80319 107092 141048 160638 214184 240957 321276 481914 642552 722871 963828 1445742 1927656 2891484 5782968