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52131460 = 22531471789
BaseRepresentation
bin1100011011011…
…1011010000100
310122002112220211
43012313122010
5101321201320
65101205204
71202052523
oct306673204
9118075824
1052131460
1127477157
1215560804
13aa53624
146cd04ba
15489b55a
hex31b7684

52131460 has 48 divisors (see below), whose sum is σ = 115476480. Its totient is φ = 19739520.

The previous prime is 52131451. The next prime is 52131461. The reversal of 52131460 is 6413125.

52131460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52131461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28246 + ... + 30034.

It is an arithmetic number, because the mean of its divisors is an integer number (2405760).

Almost surely, 252131460 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 52131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57738240).

52131460 is an abundant number, since it is smaller than the sum of its proper divisors (63345020).

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

52131460 is a wasteful number, since it uses less digits than its factorization.

52131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 52131460 is about 7220.2119082476. The cubic root of 52131460 is about 373.5653868405.

Adding to 52131460 its reverse (6413125), we get a palindrome (58544585).

The spelling of 52131460 in words is "fifty-two million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 1789 2914 3578 5828 7156 7285 8945 14570 17890 29140 35780 55459 84083 110918 168166 221836 277295 336332 420415 554590 840830 1109180 1681660 2606573 5213146 10426292 13032865 26065730 52131460