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990825 = 352111201
BaseRepresentation
bin11110001111001101001
31212100011020
43301321221
5223201300
633123053
711264463
oct3617151
91770136
10990825
11617470
123b9489
13288cb4
141bb133
151488a0
hexf1e69

990825 has 24 divisors (see below), whose sum is σ = 1788576. Its totient is φ = 480000.

The previous prime is 990809. The next prime is 990841. The reversal of 990825 is 528099.

It is an interprime number because it is at equal distance from previous prime (990809) and next prime (990841).

It is not a de Polignac number, because 990825 - 24 = 990809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

990825 is a lucky 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, 225 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (74524).

2990825 is an apocalyptic number.

It is an amenable number.

990825 is a deficient number, since it is larger than the sum of its proper divisors (797751).

990825 is a wasteful number, since it uses less digits than its factorization.

990825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 990825 is about 995.4019288709. The cubic root of 990825 is about 99.6932265294.

The spelling of 990825 in words is "nine hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1201 3603 6005 13211 18015 30025 39633 66055 90075 198165 330275 990825