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1828008 = 233471331
BaseRepresentation
bin110111110010010101000
310102212120000
412332102220
5431444013
6103103000
721352320
oct6762250
93385500
101828008
111039456
12741a60
134c0080
14358280
15261973
hex1be4a8

1828008 has 160 divisors (see below), whose sum is σ = 6504960. Its totient is φ = 466560.

The previous prime is 1828003. The next prime is 1828019. The reversal of 1828008 is 8008281.

1828008 = T227 + T228 + ... + T282.

It is a super-2 number, since 2×18280082 = 6683226496128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1828003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58953 + ... + 58983.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

21828008 is an apocalyptic number.

1828008 is a gapful number since it is divisible by the number (18) 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 1828008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252480).

1828008 is an abundant number, since it is smaller than the sum of its proper divisors (4676952).

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

1828008 is a wasteful number, since it uses less digits than its factorization.

1828008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1828008 is about 1352.0384609914. The cubic root of 1828008 is about 122.2717225880.

The spelling of 1828008 in words is "one million, eight hundred twenty-eight thousand, eight".