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53260452 = 223272109277
BaseRepresentation
bin1100101100101…
…1000010100100
310201012220121100
43023023002210
5102113313302
65141320100
71214464200
oct313130244
9121186540
1053260452
1128078403
1215a06030
13b05a47b
147105b00
154a20d1c
hex32cb0a4

53260452 has 108 divisors (see below), whose sum is σ = 158618460. Its totient is φ = 15023232.

The previous prime is 53260411. The next prime is 53260453. The reversal of 53260452 is 25406235.

53260452 is a `hidden beast` number, since 5 + 3 + 2 + 604 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 30735936 = 4746^2 + 5544^2 .

It is not an unprimeable number, because it can be changed into a prime (53260453) 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 35 ways as a sum of consecutive naturals, for example, 192138 + ... + 192414.

Almost surely, 253260452 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 53260452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79309230).

53260452 is an abundant number, since it is smaller than the sum of its proper divisors (105358008).

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

53260452 is a wasteful number, since it uses less digits than its factorization.

53260452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53260452 is about 7297.9758837639. The cubic root of 53260452 is about 376.2428734904.

Adding to 53260452 its reverse (25406235), we get a palindrome (78666687).

The spelling of 53260452 in words is "fifty-three million, two hundred sixty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 277 294 327 436 441 554 588 654 763 831 882 981 1108 1308 1526 1662 1764 1939 1962 2289 2493 3052 3324 3878 3924 4578 4986 5341 5817 6867 7756 9156 9972 10682 11634 13573 13734 16023 17451 21364 23268 27146 27468 30193 32046 34902 40719 48069 54292 60386 64092 69804 81438 90579 96138 120772 122157 162876 181158 192276 211351 244314 271737 362316 422702 488628 543474 634053 845404 1086948 1268106 1479457 1902159 2536212 2958914 3804318 4438371 5917828 7608636 8876742 13315113 17753484 26630226 53260452