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51492753 = 341379619
BaseRepresentation
bin1100010001101…
…1011110010001
310120220002210000
43010123132101
5101140232003
65035400213
71163452434
oct304333621
9116802700
1051492753
11270802a4
12152b3069
13a88b9b0
146ba581b
1547c21a3
hex311b791

51492753 has 40 divisors (see below), whose sum is σ = 84022400. Its totient is φ = 31236192.

The previous prime is 51492739. The next prime is 51492757. The reversal of 51492753 is 35729415.

51492753 is a `hidden beast` number, since 514 + 92 + 7 + 53 = 666.

51492753 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 51492753 - 24 = 51492737 is a prime.

It is a super-2 number, since 2×514927532 = 5303007223038018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51492757) 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 39 ways as a sum of consecutive naturals, for example, 82878 + ... + 83496.

It is an arithmetic number, because the mean of its divisors is an integer number (2100560).

It is a vampire number, since it can be written as 55719243 (with its own digits).

Almost surely, 251492753 is an apocalyptic number.

It is an amenable number.

51492753 is a deficient number, since it is larger than the sum of its proper divisors (32529647).

51492753 is a wasteful number, since it uses less digits than its factorization.

51492753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 51492753 is about 7175.8451070240. The cubic root of 51492753 is about 372.0334907413.

It can be divided in two parts, 51 and 492753, that added together give a square (492804 = 7022).

The spelling of 51492753 in words is "fifty-one million, four hundred ninety-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 27 39 79 81 117 237 351 619 711 1027 1053 1857 2133 3081 5571 6399 8047 9243 16713 24141 27729 48901 50139 72423 83187 146703 217269 440109 635713 651807 1320327 1907139 3960981 5721417 17164251 51492753