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5785856 = 2897233
BaseRepresentation
bin10110000100100100000000
3101212221200222
4112010210000
52440121411
6324002212
7100115246
oct26044400
911787628
105785856
1132a1aaa
121b30368
1312776ab
14aa8796
157944db
hex584900

5785856 has 36 divisors (see below), whose sum is σ = 11718252. Its totient is φ = 2850816.

The previous prime is 5785853. The next prime is 5785859. The reversal of 5785856 is 6585875.

It is an interprime number because it is at equal distance from previous prime (5785853) and next prime (5785859).

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 3936256 = 1360^2 + 1984^2 .

It is a super-2 number, since 2×57858562 = 66952259305472, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5 + 78 + 8 + 52 + 84 + 56 + 64 .

It is not an unprimeable number, because it can be changed into a prime (5785853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24716 + ... + 24948.

It is an arithmetic number, because the mean of its divisors is an integer number (325507).

Almost surely, 25785856 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 5785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859126).

5785856 is an abundant number, since it is smaller than the sum of its proper divisors (5932396).

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

5785856 is an equidigital number, since it uses as much as digits as its factorization.

5785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its digits is 336000, while the sum is 44.

The square root of 5785856 is about 2405.3806351594. The cubic root of 5785856 is about 179.5240098960.

The spelling of 5785856 in words is "five million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 233 256 388 466 776 932 1552 1864 3104 3728 6208 7456 12416 14912 22601 24832 29824 45202 59648 90404 180808 361616 723232 1446464 2892928 5785856