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52333105 = 511286501
BaseRepresentation
bin1100011110100…
…0101000110001
310122110210112011
43013220220301
5101344124410
65105402521
71203552436
oct307505061
9118423464
1052333105
11275a4700
1215639441
13aac4346
146d43b8d
1548db18a
hex31e8a31

52333105 has 12 divisors (see below), whose sum is σ = 69028596. Its totient is φ = 38060000.

The previous prime is 52333103. The next prime is 52333109. The reversal of 52333105 is 50133325.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34117281 + 18215824 = 5841^2 + 4268^2 .

It is not a de Polignac number, because 52333105 - 21 = 52333103 is a prime.

It is a super-3 number, since 3×523331053 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52333103) 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, 42646 + ... + 43855.

It is an arithmetic number, because the mean of its divisors is an integer number (5752383).

Almost surely, 252333105 is an apocalyptic number.

52333105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52333105 is a deficient number, since it is larger than the sum of its proper divisors (16695491).

52333105 is a wasteful number, since it uses less digits than its factorization.

52333105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86528 (or 86517 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 52333105 is about 7234.1623564861. The cubic root of 52333105 is about 374.0464186907.

It can be divided in two parts, 5233 and 3105, that added together give a palindrome (8338).

The spelling of 52333105 in words is "fifty-two million, three hundred thirty-three thousand, one hundred five".

Divisors: 1 5 11 55 121 605 86501 432505 951511 4757555 10466621 52333105