Search a number
-
+
51431325 = 35211312011
BaseRepresentation
bin1100010000110…
…0011110011101
310120202222111220
43010030132131
5101131300300
65034203553
71163105361
oct304143635
9116688456
1051431325
1127039130
12152835b9
13a869a4a
146b8b2a1
1547adda0
hex310c79d

51431325 has 48 divisors (see below), whose sum is σ = 95803392. Its totient is φ = 24120000.

The previous prime is 51431293. The next prime is 51431327. The reversal of 51431325 is 52313415.

51431325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51431325 - 25 = 51431293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51431295 and 51431304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51431327) 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 47 ways as a sum of consecutive naturals, for example, 24570 + ... + 26580.

It is an arithmetic number, because the mean of its divisors is an integer number (1995904).

Almost surely, 251431325 is an apocalyptic number.

51431325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51431325 is a deficient number, since it is larger than the sum of its proper divisors (44372067).

51431325 is a wasteful number, since it uses less digits than its factorization.

51431325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2061 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 51431325 is about 7171.5636370320. The cubic root of 51431325 is about 371.8854934308.

The spelling of 51431325 in words is "fifty-one million, four hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 275 341 465 775 825 1023 1705 2011 2325 5115 6033 8525 10055 22121 25575 30165 50275 62341 66363 110605 150825 187023 311705 331815 553025 685751 935115 1558525 1659075 2057253 3428755 4675575 10286265 17143775 51431325