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9973944 = 2332831669
BaseRepresentation
bin100110000011…
…000010111000
3200202201200100
4212003002320
510023131234
6553435400
7150530361
oct46030270
920681610
109973944
1156a2632
12340bb60
1320b2a56
141478b68
15d20399
hex9830b8

9973944 has 48 divisors (see below), whose sum is σ = 27354600. Its totient is φ = 3282624.

The previous prime is 9973933. The next prime is 9973967. The reversal of 9973944 is 4493799.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9973944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5142 + ... + 6810.

Almost surely, 29973944 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 9973944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677300).

9973944 is an abundant number, since it is smaller than the sum of its proper divisors (17380656).

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

9973944 is a wasteful number, since it uses less digits than its factorization.

9973944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1757 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 9973944 is about 3158.1551576830. The cubic root of 9973944 is about 215.2561864134.

The spelling of 9973944 in words is "nine million, nine hundred seventy-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1669 1992 2988 3338 5007 5976 6676 10014 13352 15021 20028 30042 40056 60084 120168 138527 277054 415581 554108 831162 1108216 1246743 1662324 2493486 3324648 4986972 9973944