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428802 = 23117389
BaseRepresentation
bin1101000101100000010
3210210012120
41220230002
5102210202
613105110
73434103
oct1505402
9723176
10428802
11273190
12188196
1312023a
14b23aa
15870bc
hex68b02

428802 has 32 divisors (see below), whose sum is σ = 959040. Its totient is φ = 126720.

The previous prime is 428801. The next prime is 428807. The reversal of 428802 is 208824.

428802 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (428801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (29970).

2428802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479520).

428802 is an abundant number, since it is smaller than the sum of its proper divisors (530238).

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

428802 is a wasteful number, since it uses less digits than its factorization.

428802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 428802 is about 654.8297488661. The cubic root of 428802 is about 75.4082624797.

The spelling of 428802 in words is "four hundred twenty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 89 146 178 219 267 438 534 803 979 1606 1958 2409 2937 4818 5874 6497 12994 19491 38982 71467 142934 214401 428802