Base | Representation |
---|---|
bin | 11001000010111… |
… | …001101010000000 |
3 | 1002021122220111000 |
4 | 121002321222000 |
5 | 1330032101343 |
6 | 105410052000 |
7 | 13261364130 |
oct | 3102715200 |
9 | 1067586430 |
10 | 420190848 |
11 | 1a6206670 |
12 | b887a000 |
13 | 6909084c |
14 | 3db3cac0 |
15 | 26d50ed3 |
hex | 190b9a80 |
420190848 has 256 divisors, whose sum is σ = 1547136000. Its totient is φ = 109071360.
The previous prime is 420190843. The next prime is 420190867. The reversal of 420190848 is 848091024.
420190848 is a `hidden beast` number, since 420 + 190 + 8 + 48 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (420190843) 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 31 ways as a sum of consecutive naturals, for example, 265323 + ... + 266901.
It is an arithmetic number, because the mean of its divisors is an integer number (6043500).
Almost surely, 2420190848 is an apocalyptic number.
420190848 is a gapful number since it is divisible by the number (48) 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 420190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773568000).
420190848 is an abundant number, since it is smaller than the sum of its proper divisors (1126945152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420190848 is a wasteful number, since it uses less digits than its factorization.
420190848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1620 (or 1602 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 420190848 is about 20498.5572175214. The cubic root of 420190848 is about 749.0006529989. Note that the first 3 decimals are identical.
The spelling of 420190848 in words is "four hundred twenty million, one hundred ninety thousand, eight hundred forty-eight".
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