Search a number
-
+
427896 = 23337283
BaseRepresentation
bin1101000011101111000
3210201222000
41220131320
5102143041
613101000
73431340
oct1503570
9721860
10427896
11272537
12187760
1311c9c1
14b1d20
1586bb6
hex68778

427896 has 64 divisors (see below), whose sum is σ = 1363200. Its totient is φ = 121824.

The previous prime is 427883. The next prime is 427913. The reversal of 427896 is 698724.

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 a d-powerful number, because it can be written as 43 + 217 + 8 + 75 + 9 + 67 .

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 427896.

It is a congruent number.

It is an unprimeable number.

427896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (21300).

2427896 is an apocalyptic number.

427896 is the 378-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681600).

427896 is an abundant number, since it is smaller than the sum of its proper divisors (935304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427896 is a wasteful number, since it uses less digits than its factorization.

427896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 427896 is about 654.1376002035. The cubic root of 427896 is about 75.3551159154.

The spelling of 427896 in words is "four hundred twenty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 283 378 504 566 756 849 1132 1512 1698 1981 2264 2547 3396 3962 5094 5943 6792 7641 7924 10188 11886 15282 15848 17829 20376 23772 30564 35658 47544 53487 61128 71316 106974 142632 213948 427896