Search a number
-
+
51112152 = 233271329269
BaseRepresentation
bin1100001011111…
…0100011011000
310120011202200200
43002332203120
5101041042102
65023302200
71160306010
oct302764330
9116152620
1051112152
1126940353
121514a960
13a7876a0
146b06c40
15474951c
hex30be8d8

51112152 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 12966912.

The previous prime is 51112151. The next prime is 51112153. The reversal of 51112152 is 25121115.

51112152 is a `hidden beast` number, since 511 + 1 + 2 + 152 = 666.

51112152 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 (51112151) and next prime (51112153).

It is a super-2 number, since 2×511121522 = 5224904164142208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51112151) 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 47 ways as a sum of consecutive naturals, for example, 189874 + ... + 190142.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 251112152 is an apocalyptic number.

51112152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51112152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

51112152 is an abundant number, since it is smaller than the sum of its proper divisors (125791848).

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

51112152 is a wasteful number, since it uses less digits than its factorization.

51112152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its digits is 100, while the sum is 18.

The square root of 51112152 is about 7149.2763270138. The cubic root of 51112152 is about 371.1146130827.

Adding to 51112152 its reverse (25121115), we get a palindrome (76233267).

The spelling of 51112152 in words is "fifty-one million, one hundred twelve thousand, one hundred fifty-two".