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5829285 = 357311103
BaseRepresentation
bin10110001111001010100101
3101222011021110
4112033022211
52443014120
6324535233
7100356000
oct26171245
911864243
105829285
1133216a0
121b51519
1312913a7
14aba537
157a22e0
hex58f2a5

5829285 has 64 divisors (see below), whose sum is σ = 11980800. Its totient is φ = 2399040.

The previous prime is 5829277. The next prime is 5829287.

5829285 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5829285 - 23 = 5829277 is a prime.

It is a super-2 number, since 2×58292852 = 67961127222450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56544 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 25829285 is an apocalyptic number.

5829285 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5829285 is an abundant number, since it is smaller than the sum of its proper divisors (6151515).

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

5829285 is a wasteful number, since it uses less digits than its factorization.

5829285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 5829285 is about 2414.3912276183. The cubic root of 5829285 is about 179.9720635657.

Adding to 5829285 its product of digits (57600), we get a palindrome (5886885).

The spelling of 5829285 in words is "five million, eight hundred twenty-nine thousand, two hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 103 105 147 165 231 245 309 343 385 515 539 721 735 1029 1133 1155 1545 1617 1715 2163 2695 3399 3605 3773 5047 5145 5665 7931 8085 10815 11319 15141 16995 18865 23793 25235 35329 39655 55517 56595 75705 105987 118965 166551 176645 277585 388619 529935 832755 1165857 1943095 5829285