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9948372 = 223732417
BaseRepresentation
bin100101111100…
…110011010100
3200201102121020
4211330303110
510021321442
6553121140
7150363000
oct45746324
920642536
109948372
1156853a5
1233b91b0
1320a4215
14146d700
15d179ec
hex97ccd4

9948372 has 48 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 2841216.

The previous prime is 9948359. The next prime is 9948413. The reversal of 9948372 is 2738499.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a d-powerful number, because it can be written as 92 + 97 + 49 + 83 + 314 + 76 + 211 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2908 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 29948372 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 9948372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

9948372 is an abundant number, since it is smaller than the sum of its proper divisors (17133228).

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

9948372 is a wasteful number, since it uses less digits than its factorization.

9948372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2429 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9948372 is about 3154.1039932127. The cubic root of 9948372 is about 215.0720652596.

The spelling of 9948372 in words is "nine million, nine hundred forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2417 4116 4834 7251 9668 14502 16919 29004 33838 50757 67676 101514 118433 203028 236866 355299 473732 710598 829031 1421196 1658062 2487093 3316124 4974186 9948372