[go: up one dir, main page]

Search a number
-
+
51112026 = 2337235879
BaseRepresentation
bin1100001011111…
…0100001011010
310120011202112000
43002332201122
5101041041101
65023301430
71160305440
oct302764132
9116152460
1051112026
1126940249
121514a876
13a787604
146b06b90
154749486
hex30be85a

51112026 has 64 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 13966128.

The previous prime is 51111989. The next prime is 51112043. The reversal of 51112026 is 62021115.

51112026 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 2×511120262 = 5224878403649352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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, 5755 + ... + 11633.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 251112026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51112026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

51112026 is an abundant number, since it is smaller than the sum of its proper divisors (84363174).

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

51112026 is a wasteful number, since it uses less digits than its factorization.

51112026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51112026 is about 7149.2675149277. The cubic root of 51112026 is about 371.1143081293.

The spelling of 51112026 in words is "fifty-one million, one hundred twelve thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 5879 8694 11758 17637 35274 41153 52911 82306 105822 123459 135217 158733 246918 270434 317466 370377 405651 740754 811302 946519 1111131 1216953 1893038 2222262 2433906 2839557 3650859 5679114 7301718 8518671 17037342 25556013 51112026