Base | Representation |
---|---|
bin | 11100001010111… |
… | …110001100100000 |
3 | 1012221100111210000 |
4 | 130022332030200 |
5 | 1431443410430 |
6 | 114522140000 |
7 | 14466234024 |
oct | 3412761440 |
9 | 1187314700 |
10 | 472638240 |
11 | 222879118 |
12 | 112351600 |
13 | 76bc4bc9 |
14 | 46ab2384 |
15 | 2b760e60 |
hex | 1c2be320 |
472638240 has 120 divisors (see below), whose sum is σ = 1668064860. Its totient is φ = 126033408.
The previous prime is 472638227. The next prime is 472638311. The reversal of 472638240 is 42836274.
It can be written as a sum of positive squares in 2 ways, for example, as 461906064 + 10732176 = 21492^2 + 3276^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 472638195 and 472638204.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 5275 + ... + 31194.
Almost surely, 2472638240 is an apocalyptic number.
472638240 is a gapful number since it is divisible by the number (40) 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 472638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834032430).
472638240 is an abundant number, since it is smaller than the sum of its proper divisors (1195426620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
472638240 is a wasteful number, since it uses less digits than its factorization.
472638240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36496 (or 36479 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 472638240 is about 21740.2447088344. The cubic root of 472638240 is about 778.9500666419.
It can be divided in two parts, 472638 and 240, that added together give a triangular number (472878 = T972).
The spelling of 472638240 in words is "four hundred seventy-two million, six hundred thirty-eight thousand, two hundred forty".
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