Search a number
-
+
53135712 = 2532726357
BaseRepresentation
bin1100101010110…
…0100101100000
310200222120111100
43022230211200
5102100320322
65134514400
71213434420
oct312544540
9120876440
1053135712
1127aa2713
1215965a00
13b015766
1470b2480
1549e8dac
hex32ac960

53135712 has 72 divisors (see below), whose sum is σ = 172697616. Its totient is φ = 15181056.

The previous prime is 53135711. The next prime is 53135717. The reversal of 53135712 is 21753135.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135711) 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 11 ways as a sum of consecutive naturals, for example, 11163 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (2398578).

Almost surely, 253135712 is an apocalyptic number.

It is an amenable number.

53135712 is an abundant number, since it is smaller than the sum of its proper divisors (119561904).

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

53135712 is a wasteful number, since it uses less digits than its factorization.

53135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 26369 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 53135712 is about 7289.4246686553. The cubic root of 53135712 is about 375.9489141399.

Adding to 53135712 its reverse (21753135), we get a palindrome (74888847).

It can be divided in two parts, 5313 and 5712, that added together give a square (11025 = 1052).

The spelling of 53135712 in words is "fifty-three million, one hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 26357 52714 79071 105428 158142 184499 210856 237213 316284 368998 421712 474426 553497 632568 737996 843424 948852 1106994 1265136 1475992 1660491 1897704 2213988 2530272 2951984 3320982 3795408 4427976 5903968 6641964 7590816 8855952 13283928 17711904 26567856 53135712