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51963041 = 1329337409
BaseRepresentation
bin1100011000111…
…0010010100001
310121202222220002
43012032102201
5101300304131
65053425345
71200451514
oct306162241
9117688802
1051963041
1127371669
121549b255
13a9c4a80
146c88d7b
1548666cb
hex318e4a1

51963041 has 16 divisors (see below), whose sum is σ = 58203600. Its totient is φ = 46061568.

The previous prime is 51963019. The next prime is 51963047. The reversal of 51963041 is 14036915.

It can be written as a sum of positive squares in 8 ways, for example, as 180625 + 51782416 = 425^2 + 7196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51963041 is a prime.

It is a super-4 number, since 4×519630414 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 51962995 and 51963013.

It is not an unprimeable number, because it can be changed into a prime (51963047) 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 15 ways as a sum of consecutive naturals, for example, 126845 + ... + 127253.

It is an arithmetic number, because the mean of its divisors is an integer number (3637725).

Almost surely, 251963041 is an apocalyptic number.

It is an amenable number.

51963041 is a deficient number, since it is larger than the sum of its proper divisors (6240559).

51963041 is a wasteful number, since it uses less digits than its factorization.

51963041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 51963041 is about 7208.5394498470. The cubic root of 51963041 is about 373.1626653129.

Adding to 51963041 its reverse (14036915), we get a palindrome (65999956).

The spelling of 51963041 in words is "fifty-one million, nine hundred sixty-three thousand, forty-one".

Divisors: 1 13 29 337 377 409 4381 5317 9773 11861 127049 137833 154193 1791829 3997157 51963041