Search a number
-
+
51331293 = 33131943179
BaseRepresentation
bin1100001111010…
…0000011011101
310120120220022000
43003310003131
5101120100133
65032112513
71162210626
oct303640335
9116526260
1051331293
1126a7aa62
1215235739
13a833360
146b62a4d
15478e413
hex30f40dd

51331293 has 64 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 29066688.

The previous prime is 51331253. The next prime is 51331327. The reversal of 51331293 is 39213315.

It is a happy number.

51331293 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 51331293 - 26 = 51331229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51331213) 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, 286678 + ... + 286856.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 251331293 is an apocalyptic number.

It is an amenable number.

51331293 is a deficient number, since it is larger than the sum of its proper divisors (37372707).

51331293 is a wasteful number, since it uses less digits than its factorization.

51331293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 51331293 is about 7164.5860313070. The cubic root of 51331293 is about 371.6442358341.

The spelling of 51331293 in words is "fifty-one million, three hundred thirty-one thousand, two hundred ninety-three".

Divisors: 1 3 9 13 19 27 39 43 57 117 129 171 179 247 351 387 513 537 559 741 817 1161 1611 1677 2223 2327 2451 3401 4833 5031 6669 6981 7353 7697 10203 10621 15093 20943 22059 23091 30609 31863 44213 62829 69273 91827 95589 100061 132639 146243 207819 286767 300183 397917 438729 900549 1193751 1316187 1901159 2701647 3948561 5703477 17110431 51331293