Base | Representation |
---|---|
bin | 11001011001100… |
… | …101001110010000 |
3 | 1002200211222100000 |
4 | 121121211032100 |
5 | 1333042331324 |
6 | 110141330000 |
7 | 13363046235 |
oct | 3131451620 |
9 | 1080758300 |
10 | 426136464 |
11 | 1a95a76a6 |
12 | ba866900 |
13 | 6a392b70 |
14 | 4084978c |
15 | 276279c9 |
hex | 19665390 |
426136464 has 120 divisors (see below), whose sum is σ = 1332053632. Its totient is φ = 131103360.
The previous prime is 426136463. The next prime is 426136489. The reversal of 426136464 is 464631624.
426136464 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 3 + 646 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (426136463) 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 23 ways as a sum of consecutive naturals, for example, 46329 + ... + 54759.
Almost surely, 2426136464 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 426136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666026816).
426136464 is an abundant number, since it is smaller than the sum of its proper divisors (905917168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426136464 is a wasteful number, since it uses less digits than its factorization.
426136464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8467 (or 8449 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 426136464 is about 20643.0730270471. The cubic root of 426136464 is about 752.5168564636.
The spelling of 426136464 in words is "four hundred twenty-six million, one hundred thirty-six thousand, four hundred sixty-four".
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