Search a number
-
+
51243192 = 23347111379
BaseRepresentation
bin1100001101111…
…0100010111000
310120102102110000
43003132202320
5101104240232
65030153000
71161363030
oct303364270
9116372400
1051243192
1126a1a850
12151b2760
13a802220
146b3c8c0
15477327c
hex30de8b8

51243192 has 320 divisors, whose sum is σ = 195148800. Its totient is φ = 12130560.

The previous prime is 51243191. The next prime is 51243193. The reversal of 51243192 is 29134215.

51243192 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 (51243191) and next prime (51243193).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51243191) 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 79 ways as a sum of consecutive naturals, for example, 648609 + ... + 648687.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 251243192 is an apocalyptic number.

51243192 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 51243192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

51243192 is an abundant number, since it is smaller than the sum of its proper divisors (143905608).

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

51243192 is a wasteful number, since it uses less digits than its factorization.

51243192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 51243192 is about 7158.4350245008. The cubic root of 51243192 is about 371.4314937499.

The spelling of 51243192 in words is "fifty-one million, two hundred forty-three thousand, one hundred ninety-two".