Base | Representation |
---|---|
bin | 1100001010001… |
… | …1001101010000 |
3 | 10112222002001020 |
4 | 3002203031100 |
5 | 101024001034 |
6 | 5021035440 |
7 | 1156331316 |
oct | 302431520 |
9 | 115862036 |
10 | 51000144 |
11 | 26874188 |
12 | 150b5b80 |
13 | a748700 |
14 | 6ab80b6 |
15 | 4726249 |
hex | 30a3350 |
51000144 has 60 divisors (see below), whose sum is σ = 142687296. Its totient is φ = 15689856.
The previous prime is 51000139. The next prime is 51000163. The reversal of 51000144 is 44100015.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4969 + ... + 11255.
Almost surely, 251000144 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 51000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71343648).
51000144 is an abundant number, since it is smaller than the sum of its proper divisors (91687152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51000144 is a wasteful number, since it uses less digits than its factorization.
51000144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6324 (or 6305 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 51000144 is about 7141.4385105523. The cubic root of 51000144 is about 370.8433259550.
Adding to 51000144 its reverse (44100015), we get a palindrome (95100159).
The spelling of 51000144 in words is "fifty-one million, one hundred forty-four", and thus it is an aban number.
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