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5444736 = 273111289
BaseRepresentation
bin10100110001010010000000
3101020121202220
4110301102000
52343212421
6312411040
764164603
oct24612200
911217686
105444736
113089790
1219a6a80
13118834b
14a1a33a
157283c6
hex531480

5444736 has 64 divisors (see below), whose sum is σ = 15789600. Its totient is φ = 1648640.

The previous prime is 5444731. The next prime is 5444737. The reversal of 5444736 is 6374445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5444697 and 5444706.

It is not an unprimeable number, because it can be changed into a prime (5444731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 4868.

Almost surely, 25444736 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 5444736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894800).

5444736 is an abundant number, since it is smaller than the sum of its proper divisors (10344864).

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

5444736 is a wasteful number, since it uses less digits than its factorization.

5444736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 5444736 is about 2333.3958086874. The cubic root of 5444736 is about 175.9242097917.

The spelling of 5444736 in words is "five million, four hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1289 1408 2112 2578 3867 4224 5156 7734 10312 14179 15468 20624 28358 30936 41248 42537 56716 61872 82496 85074 113432 123744 164992 170148 226864 247488 340296 453728 494976 680592 907456 1361184 1814912 2722368 5444736