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5785056 = 253253379
BaseRepresentation
bin10110000100010111100000
3101212220121100
4112010113200
52440110211
6323554400
7100113024
oct26042740
911786540
105785056
1132a1442
121b2ba00
131277214
14aa8384
15794156
hex5845e0

5785056 has 72 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1886976.

The previous prime is 5785051. The next prime is 5785067. The reversal of 5785056 is 6505875.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5785056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15075 + ... + 15453.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 25785056 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 5785056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

5785056 is an abundant number, since it is smaller than the sum of its proper divisors (11020824).

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

5785056 is a wasteful number, since it uses less digits than its factorization.

5785056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5785056 is about 2405.2143355635. The cubic root of 5785056 is about 179.5157353596.

The spelling of 5785056 in words is "five million, seven hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 379 424 477 636 758 848 954 1137 1272 1516 1696 1908 2274 2544 3032 3411 3816 4548 5088 6064 6822 7632 9096 12128 13644 15264 18192 20087 27288 36384 40174 54576 60261 80348 109152 120522 160696 180783 241044 321392 361566 482088 642784 723132 964176 1446264 1928352 2892528 5785056