Base | Representation |
---|---|
bin | 1011111010100… |
… | …0110101100000 |
3 | 10111000222022000 |
4 | 2332220311200 |
5 | 100243141444 |
6 | 4543044000 |
7 | 1144530420 |
oct | 276506540 |
9 | 114028260 |
10 | 49974624 |
11 | 26233747 |
12 | 148a0600 |
13 | a4799ab |
14 | 68cc480 |
15 | 45c2469 |
hex | 2fa8d60 |
49974624 has 96 divisors (see below), whose sum is σ = 166602240. Its totient is φ = 14276736.
The previous prime is 49974599. The next prime is 49974637. The reversal of 49974624 is 42647994.
49974624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 49974624.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1917 + ... + 10179.
It is an arithmetic number, because the mean of its divisors is an integer number (1735440).
Almost surely, 249974624 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 49974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83301120).
49974624 is an abundant number, since it is smaller than the sum of its proper divisors (116627616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49974624 is a wasteful number, since it uses less digits than its factorization.
49974624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8289 (or 8275 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 49974624 is about 7069.2732299721. The cubic root of 49974624 is about 368.3408153286.
The spelling of 49974624 in words is "forty-nine million, nine hundred seventy-four thousand, six hundred twenty-four".
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