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5306208 = 253311783
BaseRepresentation
bin10100001111011101100000
3100222120202020
4110033131200
52324244313
6305421440
763046665
oct24173540
910876666
105306208
112aa46a6
12193a880
13113a28b
149c1a6c
156ec323
hex50f760

5306208 has 48 divisors (see below), whose sum is σ = 14386176. Its totient is φ = 1710720.

The previous prime is 5306183. The next prime is 5306219. The reversal of 5306208 is 8026035.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2085 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (299712).

Almost surely, 25306208 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 5306208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193088).

5306208 is an abundant number, since it is smaller than the sum of its proper divisors (9079968).

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

5306208 is a wasteful number, since it uses less digits than its factorization.

5306208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5306208 is about 2303.5207834964. The cubic root of 5306208 is about 174.4193873462.

The spelling of 5306208 in words is "five million, three hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1783 2976 3566 5349 7132 10698 14264 21396 28528 42792 55273 57056 85584 110546 165819 171168 221092 331638 442184 663276 884368 1326552 1768736 2653104 5306208