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536848 = 24132989
BaseRepresentation
bin10000011000100010000
31000021102021
42003010100
5114134343
615301224
74364104
oct2030420
91007367
10536848
11337384
1221a814
1315a480
14dd904
15a90ed
hex83110

536848 has 40 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 236544.

The previous prime is 536839. The next prime is 536849. The reversal of 536848 is 848635.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 535824 = 32^2 + 732^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536849) by changing a digit.

536848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5988 + ... + 6076.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2536848 is an apocalyptic number.

536848 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

536848 is an abundant number, since it is smaller than the sum of its proper divisors (634952).

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

536848 is a wasteful number, since it uses less digits than its factorization.

536848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 536848 is about 732.6991196938. The cubic root of 536848 is about 81.2737776562.

The spelling of 536848 in words is "five hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 89 104 116 178 208 232 356 377 464 712 754 1157 1424 1508 2314 2581 3016 4628 5162 6032 9256 10324 18512 20648 33553 41296 67106 134212 268424 536848