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5205852 = 2232413527
BaseRepresentation
bin10011110110111101011100
3100210111002100
4103312331130
52313041402
6303325100
762151261
oct23667534
910714070
105205852
112a36263
1218b0790
1311036b2
14997268
156cc71c
hex4f6f5c

5205852 has 36 divisors (see below), whose sum is σ = 13484016. Its totient is φ = 1692480.

The previous prime is 5205839. The next prime is 5205853. The reversal of 5205852 is 2585025.

5205852 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205853) 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, 288 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (374556).

Almost surely, 25205852 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 5205852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008).

5205852 is an abundant number, since it is smaller than the sum of its proper divisors (8278164).

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

5205852 is a wasteful number, since it uses less digits than its factorization.

5205852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5205852 is about 2281.6336252782. The cubic root of 5205852 is about 173.3127868479.

The spelling of 5205852 in words is "five million, two hundred five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 3527 7054 10581 14108 21162 31743 42324 63486 126972 144607 289214 433821 578428 867642 1301463 1735284 2602926 5205852