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9944144 = 247194673
BaseRepresentation
bin100101111011…
…110001010000
3200201012210122
4211323301100
510021203034
6553045412
7150344450
oct45736120
920635718
109944144
115682201
1233b6868
1320a2312
14146bd60
15d1662e
hex97bc50

9944144 has 40 divisors (see below), whose sum is σ = 23183040. Its totient is φ = 4036608.

The previous prime is 9944117. The next prime is 9944153. The reversal of 9944144 is 4414499.

9944144 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9944144 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (579576).

Almost surely, 29944144 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 9944144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591520).

9944144 is an abundant number, since it is smaller than the sum of its proper divisors (13238896).

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

9944144 is a wasteful number, since it uses less digits than its factorization.

9944144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4701 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 9944144 is about 3153.4336840974. The cubic root of 9944144 is about 215.0415928185.

The spelling of 9944144 in words is "nine million, nine hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 4673 9346 18692 32711 37384 65422 74768 88787 130844 177574 261688 355148 523376 621509 710296 1243018 1420592 2486036 4972072 9944144