Base | Representation |
---|---|
bin | 11001011001100… |
… | …011100101000100 |
3 | 1002200211122002200 |
4 | 121121203211010 |
5 | 1333042122412 |
6 | 110141234500 |
7 | 13363020510 |
oct | 3131434504 |
9 | 1080748080 |
10 | 426129732 |
11 | 1a95a2636 |
12 | ba862a30 |
13 | 6a38ca92 |
14 | 40847140 |
15 | 276259dc |
hex | 19663944 |
426129732 has 72 divisors (see below), whose sum is σ = 1240127616. Its totient is φ = 120852864.
The previous prime is 426129721. The next prime is 426129733. The reversal of 426129732 is 237921624.
426129732 is a `hidden beast` number, since 4 + 2 + 612 + 9 + 7 + 32 = 666.
It is a super-3 number, since 3×4261297323 (a number of 27 digits) contains 333 as substring.
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 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 (426129733) 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, 28353 + ... + 40695.
Almost surely, 2426129732 is an apocalyptic number.
426129732 is a gapful number since it is divisible by the number (42) 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 426129732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620063808).
426129732 is an abundant number, since it is smaller than the sum of its proper divisors (813997884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426129732 is a wasteful number, since it uses less digits than its factorization.
426129732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12497 (or 12492 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 426129732 is about 20642.9099692849. The cubic root of 426129732 is about 752.5128937501.
The spelling of 426129732 in words is "four hundred twenty-six million, one hundred twenty-nine thousand, seven hundred thirty-two".
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