Base | Representation |
---|---|
bin | 11001010001011… |
… | …011111010000000 |
3 | 1002112211111020101 |
4 | 121101123322000 |
5 | 1332021014102 |
6 | 110023452144 |
7 | 13335643651 |
oct | 3121337200 |
9 | 1075744211 |
10 | 424001152 |
11 | 1a8379383 |
12 | b9bb7054 |
13 | 69ac5c73 |
14 | 40451528 |
15 | 27354e87 |
hex | 1945be80 |
424001152 has 32 divisors (see below), whose sum is σ = 850802400. Its totient is φ = 210466560.
The previous prime is 424001129. The next prime is 424001153. The reversal of 424001152 is 251100424.
It is a tau number, because it is divible by the number of its divisors (32).
It is not an unprimeable number, because it can be changed into a prime (424001153) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 5877 + ... + 29707.
It is an arithmetic number, because the mean of its divisors is an integer number (26587575).
Almost surely, 2424001152 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 424001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425401200).
424001152 is an abundant number, since it is smaller than the sum of its proper divisors (426801248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424001152 is a wasteful number, since it uses less digits than its factorization.
424001152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23984 (or 23972 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 19.
The square root of 424001152 is about 20591.2882549878. The cubic root of 424001152 is about 751.2578312274.
Adding to 424001152 its reverse (251100424), we get a palindrome (675101576).
The spelling of 424001152 in words is "four hundred twenty-four million, one thousand, one hundred fifty-two".
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