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5711776 = 25743593
BaseRepresentation
bin10101110010011110100000
3101202012002021
4111302132200
52430234101
6322231224
766356260
oct25623640
911665067
105711776
113251384
121ab5514
13124ca65
14a897a0
1577c5a1
hex5727a0

5711776 has 48 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 2386944.

The previous prime is 5711773. The next prime is 5711777. The reversal of 5711776 is 6771175.

5711776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5711773) 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 7 ways as a sum of consecutive naturals, for example, 9336 + ... + 9928.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 25711776 is an apocalyptic number.

5711776 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 5711776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

5711776 is an abundant number, since it is smaller than the sum of its proper divisors (7460768).

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

5711776 is a wasteful number, since it uses less digits than its factorization.

5711776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 10290, while the sum is 34.

The square root of 5711776 is about 2389.9322166120. The cubic root of 5711776 is about 178.7545296911.

The spelling of 5711776 in words is "five million, seven hundred eleven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 593 602 688 1186 1204 1376 2372 2408 4151 4744 4816 8302 9488 9632 16604 18976 25499 33208 50998 66416 101996 132832 178493 203992 356986 407984 713972 815968 1427944 2855888 5711776