Base | Representation |
---|---|
bin | 110101101101000… |
… | …101010000000000 |
3 | 2022210102001221202 |
4 | 311231011100000 |
5 | 3321124313212 |
6 | 225223440332 |
7 | 31220314400 |
oct | 6555052000 |
9 | 2283361852 |
10 | 901010432 |
11 | 422662523 |
12 | 2118b60a8 |
13 | 11488b58a |
14 | 87940800 |
15 | 5417b0c2 |
hex | 35b45400 |
901010432 has 66 divisors (see below), whose sum is σ = 2095321482. Its totient is φ = 386125824.
The previous prime is 901010431. The next prime is 901010437. The reversal of 901010432 is 234010109.
It can be written as a sum of positive squares in only one way, i.e., 900960256 + 50176 = 30016^2 + 224^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (901010431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41198 + ... + 59154.
Almost surely, 2901010432 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 901010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047660741).
901010432 is an abundant number, since it is smaller than the sum of its proper divisors (1194311050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
901010432 is a wasteful number, since it uses less digits than its factorization.
901010432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17991 (or 17966 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 901010432 is about 30016.8358092588. The cubic root of 901010432 is about 965.8505684979.
The spelling of 901010432 in words is "nine hundred one million, ten thousand, four hundred thirty-two".
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