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9938944 = 21123211
BaseRepresentation
bin100101111010…
…100000000000
3200200221200001
4211322200000
510021021234
6553005344
7150323341
oct45724000
920627601
109938944
115679304
1233b3854
13209cb42
14146a0c8
15d14d14
hex97a800

9938944 has 48 divisors (see below), whose sum is σ = 20835360. Its totient is φ = 4730880.

The previous prime is 9938927. The next prime is 9938953. The reversal of 9938944 is 4498399.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 9938894 and 9938903.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46999 + ... + 47209.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 29938944 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 9938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417680).

9938944 is an abundant number, since it is smaller than the sum of its proper divisors (10896416).

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

9938944 is a wasteful number, since it uses less digits than its factorization.

9938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 9938944 is about 3152.6090782081. The cubic root of 9938944 is about 215.0041030405.

The spelling of 9938944 in words is "nine million, nine hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 211 256 368 422 512 736 844 1024 1472 1688 2048 2944 3376 4853 5888 6752 9706 11776 13504 19412 23552 27008 38824 47104 54016 77648 108032 155296 216064 310592 432128 621184 1242368 2484736 4969472 9938944