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9944416 = 25372227
BaseRepresentation
bin100101111011…
…110101100000
3200201020011201
4211323311200
510021210131
6553050544
7150345316
oct45736540
920636151
109944416
115682429
1233b6a54
1320a2491
14146c0b6
15d16761
hex97bd60

9944416 has 36 divisors (see below), whose sum is σ = 20210148. Its totient is φ = 4816512.

The previous prime is 9944393. The next prime is 9944423. The reversal of 9944416 is 6144499.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

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 5 ways as a sum of consecutive naturals, for example, 43695 + ... + 43921.

It is an arithmetic number, because the mean of its divisors is an integer number (561393).

Almost surely, 29944416 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 9944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105074).

9944416 is an abundant number, since it is smaller than the sum of its proper divisors (10265732).

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

9944416 is a wasteful number, since it uses less digits than its factorization.

9944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 266 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 9944416 is about 3153.4768113941. The cubic root of 9944416 is about 215.0435534625.

The spelling of 9944416 in words is "nine million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 227 296 454 592 908 1184 1369 1816 2738 3632 5476 7264 8399 10952 16798 21904 33596 43808 67192 134384 268768 310763 621526 1243052 2486104 4972208 9944416