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5348856 = 233437173
BaseRepresentation
bin10100011001110111111000
3101001202020210
4110121313320
52332130411
6310351120
763315222
oct24316770
911052223
105348856
113023747
12195b4a0
131153806
149d3412
15709ca6
hex519df8

5348856 has 64 divisors (see below), whose sum is σ = 14065920. Its totient is φ = 1693440.

The previous prime is 5348839. The next prime is 5348869. The reversal of 5348856 is 6588435.

It is a happy number.

It is a super-2 number, since 2×53488562 = 57220521017472, which contains 22 as substring.

Its product of digits (115200) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73236 + ... + 73308.

It is an arithmetic number, because the mean of its divisors is an integer number (219780).

Almost surely, 25348856 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 5348856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032960).

5348856 is an abundant number, since it is smaller than the sum of its proper divisors (8717064).

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

5348856 is a wasteful number, since it uses less digits than its factorization.

5348856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 5348856 is about 2312.7593908576. The cubic root of 5348856 is about 174.8854324953.

The spelling of 5348856 in words is "five million, three hundred forty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 71 73 86 129 142 146 172 213 219 258 284 292 344 426 438 516 568 584 852 876 1032 1704 1752 3053 3139 5183 6106 6278 9159 9417 10366 12212 12556 15549 18318 18834 20732 24424 25112 31098 36636 37668 41464 62196 73272 75336 124392 222869 445738 668607 891476 1337214 1782952 2674428 5348856