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9953244 = 22327127311
BaseRepresentation
bin100101111101…
…111111011100
3200201200021200
4211331333130
510022000434
6553155500
7150413130
oct45757734
920650250
109953244
115689024
1233bbb90
1320a64c2
1414713c0
15d19199
hex97dfdc

9953244 has 72 divisors (see below), whose sum is σ = 29073408. Its totient is φ = 2812320.

The previous prime is 9953243. The next prime is 9953257. The reversal of 9953244 is 4423599.

It is a super-2 number, since 2×99532442 = 198134132247072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9953199 and 9953208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31849 + ... + 32159.

Almost surely, 29953244 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 9953244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536704).

9953244 is an abundant number, since it is smaller than the sum of its proper divisors (19120164).

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

9953244 is a wasteful number, since it uses less digits than its factorization.

9953244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 9953244 is about 3154.8762257813. The cubic root of 9953244 is about 215.1071684939.

The spelling of 9953244 in words is "nine million, nine hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 311 381 508 622 762 889 933 1143 1244 1524 1778 1866 2177 2286 2667 2799 3556 3732 4354 4572 5334 5598 6531 8001 8708 10668 11196 13062 16002 19593 26124 32004 39186 39497 78372 78994 118491 157988 236982 276479 355473 473964 552958 710946 829437 1105916 1421892 1658874 2488311 3317748 4976622 9953244