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5285808 = 2432114771
BaseRepresentation
bin10100001010011110110000
3100221112202200
4110022132300
52323121213
6305143200
762633343
oct24123660
910845680
105285808
112a90340
12192ab00
131130bc8
149b845a
156e6273
hex50a7b0

5285808 has 120 divisors (see below), whose sum is σ = 16713216. Its totient is φ = 1545600.

The previous prime is 5285807. The next prime is 5285881. The reversal of 5285808 is 8085825.

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

5285808 is a modest number, since divided by 5808 gives 528 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74413 + ... + 74483.

Almost surely, 25285808 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 5285808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608).

5285808 is an abundant number, since it is smaller than the sum of its proper divisors (11427408).

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

5285808 is a wasteful number, since it uses less digits than its factorization.

5285808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5285808 is about 2299.0885150424. The cubic root of 5285808 is about 174.1955787365.

It can be divided in two parts, 528 and 5808, that added together give a palindrome (6336).

The spelling of 5285808 in words is "five million, two hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 71 72 88 94 99 132 141 142 144 176 188 198 213 264 282 284 376 396 423 426 517 528 564 568 639 752 781 792 846 852 1034 1128 1136 1278 1551 1562 1584 1692 1704 2068 2256 2343 2556 3102 3124 3337 3384 3408 4136 4653 4686 5112 6204 6248 6674 6768 7029 8272 9306 9372 10011 10224 12408 12496 13348 14058 18612 18744 20022 24816 26696 28116 30033 36707 37224 37488 40044 53392 56232 60066 73414 74448 80088 110121 112464 120132 146828 160176 220242 240264 293656 330363 440484 480528 587312 660726 880968 1321452 1761936 2642904 5285808