Base | Representation |
---|---|
bin | 1001001101110010… |
… | …0100101111110000 |
3 | 20101101210002010000 |
4 | 2103130210233300 |
5 | 20031234210141 |
6 | 1045244510000 |
7 | 115205311515 |
oct | 22334445760 |
9 | 6341702100 |
10 | 2473741296 |
11 | 105a3a94a4 |
12 | 59054b300 |
13 | 305667360 |
14 | 19677730c |
15 | e72905b6 |
hex | 93724bf0 |
2473741296 has 400 divisors, whose sum is σ = 8204787360. Its totient is φ = 714147840.
The previous prime is 2473741289. The next prime is 2473741297. The reversal of 2473741296 is 6921473742.
2473741296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×24737412962 = 12238791999071519232, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2473741297) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29804071 + ... + 29804153.
Almost surely, 22473741296 is an apocalyptic number.
2473741296 is a gapful number since it is divisible by the number (26) 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 2473741296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102393680).
2473741296 is an abundant number, since it is smaller than the sum of its proper divisors (5731046064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2473741296 is a wasteful number, since it uses less digits than its factorization.
2473741296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206 (or 191 counting only the distinct ones).
The product of its digits is 508032, while the sum is 45.
The square root of 2473741296 is about 49736.7197953383. The cubic root of 2473741296 is about 1352.4402677816.
The spelling of 2473741296 in words is "two billion, four hundred seventy-three million, seven hundred forty-one thousand, two hundred ninety-six".
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