Base | Representation |
---|---|
bin | 11101110011101… |
… | …00011110000000 |
3 | 122102111020212000 |
4 | 32321310132000 |
5 | 1003002210034 |
6 | 40451104000 |
7 | 6124201116 |
oct | 1671643600 |
9 | 572436760 |
10 | 250038144 |
11 | 11915a3a4 |
12 | 6b8a2000 |
13 | 3ca56b85 |
14 | 252c9ab6 |
15 | 16e40599 |
hex | ee74780 |
250038144 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 82091520.
The previous prime is 250038121. The next prime is 250038149. The reversal of 250038144 is 441830052.
250038144 is digitally balanced in base 2 and base 3, because in such bases 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 (128).
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 (250038149) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244867 + ... + 245885.
It is an arithmetic number, because the mean of its divisors is an integer number (5852250).
Almost surely, 2250038144 is an apocalyptic number.
250038144 is a gapful number since it is divisible by the number (24) 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 250038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).
250038144 is an abundant number, since it is smaller than the sum of its proper divisors (499049856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
250038144 is a wasteful number, since it uses less digits than its factorization.
250038144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1113 (or 1095 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 250038144 is about 15812.5944740261. The cubic root of 250038144 is about 629.9925622705.
Adding to 250038144 its reverse (441830052), we get a palindrome (691868196).
The spelling of 250038144 in words is "two hundred fifty million, thirty-eight thousand, one hundred forty-four".
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