Search a number
-
+
51293385 = 33511132657
BaseRepresentation
bin1100001110101…
…0110011001001
310120111222022000
43003222303021
5101112342020
65031221213
71161662253
oct303526311
9116458260
1051293385
1126a54530
1215217809
13a81c020
146b52cd3
154783090
hex30eacc9

51293385 has 64 divisors (see below), whose sum is σ = 107170560. Its totient is φ = 22947840.

The previous prime is 51293383. The next prime is 51293387. The reversal of 51293385 is 58339215.

51293385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51293383) and next prime (51293387).

It is not a de Polignac number, because 51293385 - 21 = 51293383 is a prime.

It is a super-2 number, since 2×512933852 = 5262022689516450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51293383) 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 63 ways as a sum of consecutive naturals, for example, 17977 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (1674540).

Almost surely, 251293385 is an apocalyptic number.

51293385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51293385 is an abundant number, since it is smaller than the sum of its proper divisors (55877175).

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

51293385 is a wasteful number, since it uses less digits than its factorization.

51293385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 51293385 is about 7161.9400304666. The cubic root of 51293385 is about 371.5527272672.

The spelling of 51293385 in words is "fifty-one million, two hundred ninety-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 2657 3861 6435 7971 13285 19305 23913 29227 34541 39855 71739 87681 103623 119565 146135 172705 263043 310869 358695 379951 438405 518115 789129 932607 1139853 1315215 1554345 1899755 3419559 3945645 4663035 5699265 10258677 17097795 51293385