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9984044 = 227319383
BaseRepresentation
bin100110000101…
…100000101100
3200210020112102
4212011200230
510023442134
6553554232
7150602000
oct46054054
920706472
109984044
1156aa184
123415978
1320b7525
14147c700
15d2337e
hex98582c

9984044 has 48 divisors (see below), whose sum is σ = 21504000. Its totient is φ = 4043088.

The previous prime is 9984031. The next prime is 9984059. The reversal of 9984044 is 4404899.

It is a super-2 number, since 2×99840442 = 199362269187872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 9983989 and 9984007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25877 + ... + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (448000).

Almost surely, 29984044 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 9984044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000).

9984044 is an abundant number, since it is smaller than the sum of its proper divisors (11519956).

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

9984044 is a wasteful number, since it uses less digits than its factorization.

9984044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 9984044 is about 3159.7537878765. The cubic root of 9984044 is about 215.3288208043.

The spelling of 9984044 in words is "nine million, nine hundred eighty-four thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 383 532 686 766 931 1372 1532 1862 2681 3724 5362 6517 7277 10724 13034 14554 18767 26068 29108 37534 50939 75068 101878 131369 203756 262738 356573 525476 713146 1426292 2496011 4992022 9984044