Base | Representation |
---|---|
bin | 1100001101110… |
… | …0011111010000 |
3 | 10120101222220000 |
4 | 3003130133100 |
5 | 101104003033 |
6 | 5030050000 |
7 | 1161326334 |
oct | 303343720 |
9 | 116358800 |
10 | 51234768 |
11 | 26a14492 |
12 | 151a9900 |
13 | a7cb440 |
14 | 6b397c4 |
15 | 4770a13 |
hex | 30dc7d0 |
51234768 has 100 divisors (see below), whose sum is σ = 159747588. Its totient is φ = 15759360.
The previous prime is 51234761. The next prime is 51234769. The reversal of 51234768 is 86743215.
51234768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 31945104 + 19289664 = 5652^2 + 4392^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (51234761) 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 19 ways as a sum of consecutive naturals, for example, 15328 + ... + 18368.
Almost surely, 251234768 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 51234768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79873794).
51234768 is an abundant number, since it is smaller than the sum of its proper divisors (108512820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51234768 is a wasteful number, since it uses less digits than its factorization.
51234768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3074 (or 3059 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 51234768 is about 7157.8466035533. The cubic root of 51234768 is about 371.4111391086.
The spelling of 51234768 in words is "fifty-one million, two hundred thirty-four thousand, seven hundred sixty-eight".
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