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9944496 = 2432531303
BaseRepresentation
bin100101111011…
…110110110000
3200201020021200
4211323312300
510021210441
6553051200
7150345462
oct45736660
920636250
109944496
1156824a1
1233b6b00
1320a2523
14146c132
15d167b6
hex97bdb0

9944496 has 60 divisors (see below), whose sum is σ = 28377648. Its totient is φ = 3249792.

The previous prime is 9944491. The next prime is 9944497. The reversal of 9944496 is 6944499.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9944491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6981 + ... + 8283.

Almost surely, 29944496 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 9944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188824).

9944496 is an abundant number, since it is smaller than the sum of its proper divisors (18433152).

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

9944496 is a wasteful number, since it uses less digits than its factorization.

9944496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9944496 is about 3153.4894957808. The cubic root of 9944496 is about 215.0441301157.

It can be divided in two parts, 9944 and 496, that added together give a triangular number (10440 = T144).

The spelling of 9944496 in words is "nine million, nine hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1303 1908 2544 2606 3816 3909 5212 7632 7818 10424 11727 15636 20848 23454 31272 46908 62544 69059 93816 138118 187632 207177 276236 414354 552472 621531 828708 1104944 1243062 1657416 2486124 3314832 4972248 9944496