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52005460 = 225131391439
BaseRepresentation
bin1100011001100…
…0101001010100
310121212011002011
43012120221110
5101303133320
65054354004
71201016263
oct306305124
9117764064
1052005460
11273a0521
12154bb904
13aa0b180
146c9a5da
15487405a
hex3198a54

52005460 has 48 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 19050624.

The previous prime is 52005433. The next prime is 52005469. The reversal of 52005460 is 6450025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005469) 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, 35421 + ... + 36859.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 252005460 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 52005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

52005460 is an abundant number, since it is smaller than the sum of its proper divisors (66535340).

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

52005460 is a wasteful number, since it uses less digits than its factorization.

52005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52005460 is about 7211.4811238746. The cubic root of 52005460 is about 373.2641790136.

Adding to 52005460 its reverse (6450025), we get a palindrome (58455485).

The spelling of 52005460 in words is "fifty-two million, five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1439 1807 2780 2878 3614 5756 7195 7228 9035 14390 18070 18707 28780 36140 37414 74828 93535 187070 200021 374140 400042 800084 1000105 2000210 2600273 4000420 5200546 10401092 13001365 26002730 52005460