Search a number
-
+
426833028 = 223211856473
BaseRepresentation
bin11001011100001…
…111010010000100
31002202011100211200
4121130033102010
51333232124103
6110204302500
713402010106
oct3134172204
91082140750
10426833028
111a9a32a76
12bab41a30
136a577c2b
144098b576
15277140a3
hex1970f484

426833028 has 18 divisors (see below), whose sum is σ = 1078939134. Its totient is φ = 142277664.

The previous prime is 426832981. The next prime is 426833041. The reversal of 426833028 is 820338624.

It can be written as a sum of positive squares in only one way, i.e., 260887104 + 165945924 = 16152^2 + 12882^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11856473 = 426833028 / (4 + 2 + 6 + 8 + 3 + 3 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 426832983 and 426833001.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5928201 + ... + 5928272.

It is an arithmetic number, because the mean of its divisors is an integer number (59941063).

Almost surely, 2426833028 is an apocalyptic number.

It is an amenable number.

426833028 is an abundant number, since it is smaller than the sum of its proper divisors (652106106).

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

426833028 is a wasteful number, since it uses less digits than its factorization.

426833028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856483 (or 11856478 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 426833028 is about 20659.9377540205. The cubic root of 426833028 is about 752.9266553960.

The spelling of 426833028 in words is "four hundred twenty-six million, eight hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 11856473 23712946 35569419 47425892 71138838 106708257 142277676 213416514 426833028