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5536104 = 2337311063
BaseRepresentation
bin10101000111100101101000
3101102021002220
4111013211220
52404123404
6314354040
765025150
oct25074550
911367086
105536104
1131413a2
121a2b920
1311bab02
14a41760
157454d9
hex547968

5536104 has 64 divisors (see below), whose sum is σ = 16343040. Its totient is φ = 1529280.

The previous prime is 5536103. The next prime is 5536109. The reversal of 5536104 is 4016355.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5536103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4677 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 25536104 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 5536104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171520).

5536104 is an abundant number, since it is smaller than the sum of its proper divisors (10806936).

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

5536104 is a wasteful number, since it uses less digits than its factorization.

5536104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5536104 is about 2352.8926877357. The cubic root of 5536104 is about 176.9028161957.

Adding to 5536104 its sum of digits (24), we get a triangular number (5536128 = T3327).

The spelling of 5536104 in words is "five million, five hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1063 1302 1736 2126 2604 3189 4252 5208 6378 7441 8504 12756 14882 22323 25512 29764 32953 44646 59528 65906 89292 98859 131812 178584 197718 230671 263624 395436 461342 692013 790872 922684 1384026 1845368 2768052 5536104