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5785052 = 2271323691
BaseRepresentation
bin10110000100010111011100
3101212220121012
4112010113130
52440110202
6323554352
7100113020
oct26042734
911786535
105785052
1132a1439
121b2b9b8
131277210
14aa8380
15794152
hex5845dc

5785052 has 48 divisors (see below), whose sum is σ = 13020672. Its totient is φ = 2185920.

The previous prime is 5785051. The next prime is 5785067. The reversal of 5785052 is 2505875.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8027 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (271264).

Almost surely, 25785052 is an apocalyptic number.

5785052 is a gapful number since it is divisible by the number (52) 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 5785052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510336).

5785052 is an abundant number, since it is smaller than the sum of its proper divisors (7235620).

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

5785052 is a wasteful number, since it uses less digits than its factorization.

5785052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 5785052 is about 2405.2135040366. The cubic root of 5785052 is about 179.5156939850.

The spelling of 5785052 in words is "five million, seven hundred eighty-five thousand, fifty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 691 1196 1382 2093 2764 4186 4837 8372 8983 9674 15893 17966 19348 31786 35932 62881 63572 111251 125762 206609 222502 251524 413218 445004 826436 1446263 2892526 5785052