Base | Representation |
---|---|
bin | 11000111110111… |
… | …000000000101100 |
3 | 1002012200021212020 |
4 | 120332320000230 |
5 | 1324244314112 |
6 | 105331310140 |
7 | 13246410324 |
oct | 3076700054 |
9 | 1065607766 |
10 | 419135532 |
11 | 1a5655802 |
12 | b844b350 |
13 | 68ab13ba |
14 | 3d946284 |
15 | 26be348c |
hex | 18fb802c |
419135532 has 96 divisors (see below), whose sum is σ = 1047997440. Its totient is φ = 130099200.
The previous prime is 419135503. The next prime is 419135537. The reversal of 419135532 is 235531914.
It is a junction number, because it is equal to n+sod(n) for n = 419135493 and 419135502.
It is not an unprimeable number, because it can be changed into a prime (419135537) 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 31 ways as a sum of consecutive naturals, for example, 2775657 + ... + 2775807.
It is an arithmetic number, because the mean of its divisors is an integer number (10916640).
Almost surely, 2419135532 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 419135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).
419135532 is an abundant number, since it is smaller than the sum of its proper divisors (628861908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
419135532 is a wasteful number, since it uses less digits than its factorization.
419135532 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 383 (or 381 counting only the distinct ones).
The product of its digits is 16200, while the sum is 33.
The square root of 419135532 is about 20472.7998085264. The cubic root of 419135532 is about 748.3730849707.
The spelling of 419135532 in words is "four hundred nineteen million, one hundred thirty-five thousand, five hundred thirty-two".
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