Search a number
-
+
9999828 = 2233531747
BaseRepresentation
bin100110001001…
…010111010100
3200211001012000
4212021113110
510024443303
6554155300
7150666006
oct46112724
920731160
109999828
115710023
123422b30
1320c1777
141484376
15d27da3
hex9895d4

9999828 has 48 divisors (see below), whose sum is σ = 26429760. Its totient is φ = 3268512.

The previous prime is 9999823. The next prime is 9999863. The reversal of 9999828 is 8289999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999823) 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 15 ways as a sum of consecutive naturals, for example, 4851 + ... + 6597.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 29999828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880).

9999828 is an abundant number, since it is smaller than the sum of its proper divisors (16429932).

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

9999828 is a wasteful number, since it uses less digits than its factorization.

9999828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 9999828 is about 3162.2504644636. The cubic root of 9999828 is about 215.4422337869.

The spelling of 9999828 in words is "nine million, nine hundred ninety-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1747 1908 2862 3494 5241 5724 6988 10482 15723 20964 31446 47169 62892 92591 94338 185182 188676 277773 370364 555546 833319 1111092 1666638 2499957 3333276 4999914 9999828