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5353504 = 251317757
BaseRepresentation
bin10100011011000000100000
3101001222121221
4110123000200
52332303004
6310424424
763334612
oct24330040
911058557
105353504
113027192
121962114
131155970
149d4db2
1570b354
hex51b020

5353504 has 48 divisors (see below), whose sum is σ = 12034008. Its totient is φ = 2322432.

The previous prime is 5353499. The next prime is 5353529. The reversal of 5353504 is 4053535.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 739600 = 2148^2 + 860^2 .

It is an Ulam number.

It is an unprimeable number.

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, 6694 + ... + 7450.

Almost surely, 25353504 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 5353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017004).

5353504 is an abundant number, since it is smaller than the sum of its proper divisors (6680504).

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

5353504 is a wasteful number, since it uses less digits than its factorization.

5353504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 5353504 is about 2313.7640329126. The cubic root of 5353504 is about 174.9360746109.

The spelling of 5353504 in words is "five million, three hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 757 884 1514 1768 3028 3536 6056 7072 9841 12112 12869 19682 24224 25738 39364 51476 78728 102952 157456 167297 205904 314912 334594 411808 669188 1338376 2676752 5353504