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5736852 = 2233112439
BaseRepresentation
bin10101111000100110010100
3101210110111000
4111320212110
52432034402
6322543300
766522342
oct25704624
911713430
105736852
113269200
121b07b30
13125b2b4
14a94992
15784c1c
hex578994

5736852 has 72 divisors (see below), whose sum is σ = 16385600. Its totient is φ = 1734480.

The previous prime is 5736839. The next prime is 5736859. The reversal of 5736852 is 2586375.

5736852 is a `hidden beast` number, since 573 + 6 + 85 + 2 = 666.

It is a super-2 number, since 2×57368522 = 65822941739808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5736859) 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 23 ways as a sum of consecutive naturals, for example, 12849 + ... + 13287.

Almost surely, 25736852 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 5736852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192800).

5736852 is an abundant number, since it is smaller than the sum of its proper divisors (10648748).

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

5736852 is a wasteful number, since it uses less digits than its factorization.

5736852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5736852 is about 2395.1726451344. The cubic root of 5736852 is about 179.0157388656.

The spelling of 5736852 in words is "five million, seven hundred thirty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 439 484 594 726 878 1089 1188 1317 1452 1756 2178 2634 3267 3951 4356 4829 5268 6534 7902 9658 11853 13068 14487 15804 19316 23706 28974 43461 47412 53119 57948 86922 106238 130383 159357 173844 212476 260766 318714 478071 521532 637428 956142 1434213 1912284 2868426 5736852