Search a number
-
+
52560414 = 235831303
BaseRepresentation
bin1100100010000…
…0001000011110
310122220100100000
43020200020132
5101423413124
65114315130
71205520234
oct310401036
9118810300
1052560414
112773a465
1215728aa6
13ab7394a
146da2954
1549336c9
hex322021e

52560414 has 48 divisors (see below), whose sum is σ = 119613312. Its totient is φ = 17295768.

The previous prime is 52560397. The next prime is 52560419. The reversal of 52560414 is 41406525.

52560414 is a `hidden beast` number, since 52 + 5 + 604 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52560419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39687 + ... + 40989.

It is an arithmetic number, because the mean of its divisors is an integer number (2491944).

Almost surely, 252560414 is an apocalyptic number.

52560414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52560414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59806656).

52560414 is an abundant number, since it is smaller than the sum of its proper divisors (67052898).

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

52560414 is a wasteful number, since it uses less digits than its factorization.

52560414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52560414 is about 7249.8561365037. The cubic root of 52560414 is about 374.5871937427.

Adding to 52560414 its reverse (41406525), we get a palindrome (93966939).

The spelling of 52560414 in words is "fifty-two million, five hundred sixty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 243 249 486 498 747 1303 1494 2241 2606 3909 4482 6723 7818 11727 13446 20169 23454 35181 40338 70362 105543 108149 211086 216298 316629 324447 633258 648894 973341 1946682 2920023 5840046 8760069 17520138 26280207 52560414