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51130266 = 23114753311
BaseRepresentation
bin1100001100001…
…0111110011010
310120012200112120
43003002332122
5101042132031
65023522110
71160412555
oct303027632
9116180476
1051130266
1126952a20
1215159336
13a7929c5
146b0d69c
15474ea96
hex30c2f9a

51130266 has 64 divisors (see below), whose sum is σ = 116453376. Its totient is φ = 14830400.

The previous prime is 51130259. The next prime is 51130267. The reversal of 51130266 is 66203115.

51130266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511302662 = 5228608202461512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51130267) 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 31 ways as a sum of consecutive naturals, for example, 164251 + ... + 164561.

It is an arithmetic number, because the mean of its divisors is an integer number (1819584).

Almost surely, 251130266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51130266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58226688).

51130266 is an abundant number, since it is smaller than the sum of its proper divisors (65323110).

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

51130266 is a wasteful number, since it uses less digits than its factorization.

51130266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51130266 is about 7150.5430563000. The cubic root of 51130266 is about 371.1584485560.

The spelling of 51130266 in words is "fifty-one million, one hundred thirty thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 282 311 318 517 583 622 933 1034 1166 1551 1749 1866 2491 3102 3421 3498 4982 6842 7473 10263 14617 14946 16483 20526 27401 29234 32966 43851 49449 54802 82203 87702 98898 160787 164406 181313 321574 362626 482361 543939 774701 964722 1087878 1549402 2324103 4648206 8521711 17043422 25565133 51130266