Base | Representation |
---|---|
bin | 1100000000101… |
… | …0100100100000 |
3 | 10111210022102200 |
4 | 3000022210200 |
5 | 100343444234 |
6 | 4555413200 |
7 | 1151115504 |
oct | 300124440 |
9 | 114708380 |
10 | 50374944 |
11 | 26487494 |
12 | 14a54200 |
13 | a589c79 |
14 | 6994304 |
15 | 4650d99 |
hex | 300a920 |
50374944 has 72 divisors (see below), whose sum is σ = 151695180. Its totient is φ = 15802368.
The previous prime is 50374939. The next prime is 50374949. The reversal of 50374944 is 44947305.
It is an interprime number because it is at equal distance from previous prime (50374939) and next prime (50374949).
It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 6656400 = 6612^2 + 2580^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 50374899 and 50374908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (50374949) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249 + ... + 10040.
Almost surely, 250374944 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 50374944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847590).
50374944 is an abundant number, since it is smaller than the sum of its proper divisors (101320236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
50374944 is a wasteful number, since it uses less digits than its factorization.
50374944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10322 (or 10311 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 50374944 is about 7097.5308382564. The cubic root of 50374944 is about 369.3217279113.
The spelling of 50374944 in words is "fifty million, three hundred seventy-four thousand, nine hundred forty-four".
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