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9900832 = 252947227
BaseRepresentation
bin100101110001…
…001100100000
3200122000101111
4211301030200
510013311312
6552113104
7150104254
oct45611440
920560344
109900832
115652707
123395794
1320886a6
14145a264
15d088a7
hex971320

9900832 has 48 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 4657408.

The previous prime is 9900827. The next prime is 9900857. The reversal of 9900832 is 2380099.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9900794 and 9900803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43503 + ... + 43729.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 29900832 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 9900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

9900832 is an abundant number, since it is smaller than the sum of its proper divisors (10783328).

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

9900832 is a wasteful number, since it uses less digits than its factorization.

9900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 9900832 is about 3146.5587552118. The cubic root of 9900832 is about 214.7289318670.

The spelling of 9900832 in words is "nine million, nine hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 227 232 376 454 464 752 908 928 1363 1504 1816 2726 3632 5452 6583 7264 10669 10904 13166 21338 21808 26332 42676 43616 52664 85352 105328 170704 210656 309401 341408 618802 1237604 2475208 4950416 9900832