Search a number
-
+
9998912 = 267112029
BaseRepresentation
bin100110001001…
…001001000000
3200210222221002
4212021021000
510024431122
6554151132
7150663230
oct46111100
920728832
109998912
11570a370
1234224a8
1320c1221
141483cc0
15d27992
hex989240

9998912 has 56 divisors (see below), whose sum is σ = 24749760. Its totient is φ = 3893760.

The previous prime is 9998903. The next prime is 9998929. The reversal of 9998912 is 2198999.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (441960).

Almost surely, 29998912 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 9998912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374880).

9998912 is an abundant number, since it is smaller than the sum of its proper divisors (14750848).

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

9998912 is a wasteful number, since it uses less digits than its factorization.

9998912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its digits is 104976, while the sum is 47.

The square root of 9998912 is about 3162.1056275843. The cubic root of 9998912 is about 215.4356553033.

It can be divided in two parts, 99989 and 12, that added together give a palindrome (100001).

The spelling of 9998912 in words is "nine million, nine hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2029 2464 4058 4928 8116 14203 16232 22319 28406 32464 44638 56812 64928 89276 113624 129856 156233 178552 227248 312466 357104 454496 624932 714208 908992 1249864 1428416 2499728 4999456 9998912