Base | Representation |
---|---|
bin | 11001001100000… |
… | …000000000000000 |
3 | 1002110011002110201 |
4 | 121030000000000 |
5 | 1331134414003 |
6 | 105533134544 |
7 | 13320560242 |
oct | 3114000000 |
9 | 1073132421 |
10 | 422576128 |
11 | 1a7595777 |
12 | b962a454 |
13 | 69717460 |
14 | 401a0092 |
15 | 27172b1d |
hex | 19300000 |
422576128 has 84 divisors (see below), whose sum is σ = 939523648. Its totient is φ = 188743680.
The previous prime is 422576087. The next prime is 422576137. The reversal of 422576128 is 821675224.
It is a happy number.
It is a super-3 number, since 3×4225761283 (a number of 27 digits) contains 333 as substring.
Its product of digits (53760) is a multiple of the sum of its prime factors (84).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13631473 + ... + 13631503.
Almost surely, 2422576128 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 422576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469761824).
422576128 is an abundant number, since it is smaller than the sum of its proper divisors (516947520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422576128 is an frugal number, since it uses more digits than its factorization.
422576128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84 (or 46 counting only the distinct ones).
The product of its digits is 53760, while the sum is 37.
The square root of 422576128 is about 20556.6565374820. The cubic root of 422576128 is about 750.4152533031.
The spelling of 422576128 in words is "four hundred twenty-two million, five hundred seventy-six thousand, one hundred twenty-eight".
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