Base | Representation |
---|---|
bin | 11001011101011… |
… | …010010111100000 |
3 | 1002202201222201100 |
4 | 121131122113200 |
5 | 1333321444301 |
6 | 110215034400 |
7 | 13404430542 |
oct | 3135322740 |
9 | 1082658640 |
10 | 427140576 |
11 | 1aa123045 |
12 | bb06ba00 |
13 | 6a654c05 |
14 | 40a2b692 |
15 | 27775286 |
hex | 1975a5e0 |
427140576 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 138515712.
The previous prime is 427140557. The next prime is 427140587. The reversal of 427140576 is 675041724.
427140576 is a `hidden beast` number, since 42 + 7 + 1 + 40 + 576 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×4271405762 = 364898143331223552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 427140576.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557645 + ... + 2557811.
It is an arithmetic number, because the mean of its divisors is an integer number (8668296).
Almost surely, 2427140576 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 427140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).
427140576 is an abundant number, since it is smaller than the sum of its proper divisors (821094048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427140576 is a wasteful number, since it uses less digits than its factorization.
427140576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373 (or 362 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
The square root of 427140576 is about 20667.3795145877. The cubic root of 427140576 is about 753.1074485697.
It can be divided in two parts, 427140 and 576, that added together give a square (427716 = 6542).
The spelling of 427140576 in words is "four hundred twenty-seven million, one hundred forty thousand, five hundred seventy-six".
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