Base | Representation |
---|---|
bin | 1001000001111101… |
… | …0101011100111000 |
3 | 20020221102201220201 |
4 | 2100133111130320 |
5 | 14431034232212 |
6 | 1040313331544 |
7 | 114033536260 |
oct | 22037253470 |
9 | 6227381821 |
10 | 2424133432 |
11 | 10343a6366 |
12 | 577a06bb4 |
13 | 2c82b85a6 |
14 | 18dd427a0 |
15 | e2c41b57 |
hex | 907d5738 |
2424133432 has 64 divisors (see below), whose sum is σ = 5454144000. Its totient is φ = 988073856.
The previous prime is 2424133427. The next prime is 2424133433. The reversal of 2424133432 is 2343314242.
2424133432 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 2×24241334322 = 11752845792280197248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 2424133432.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2424133433) 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, 97669 + ... + 119947.
It is an arithmetic number, because the mean of its divisors is an integer number (85221000).
Almost surely, 22424133432 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 2424133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727072000).
2424133432 is an abundant number, since it is smaller than the sum of its proper divisors (3030010568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2424133432 is a wasteful number, since it uses less digits than its factorization.
2424133432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22388 (or 22384 counting only the distinct ones).
The product of its digits is 13824, while the sum is 28.
The square root of 2424133432 is about 49235.4895578383. The cubic root of 2424133432 is about 1343.3386399696.
Adding to 2424133432 its reverse (2343314242), we get a palindrome (4767447674).
The spelling of 2424133432 in words is "two billion, four hundred twenty-four million, one hundred thirty-three thousand, four hundred thirty-two".
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