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33856 = 26232
BaseRepresentation
bin1000010001000000
31201102221
420101000
52040411
6420424
7200464
oct102100
951387
1033856
1123489
1217714
1312544
14c4a4
15a071
hex8440

33856 has 21 divisors (see below), whose sum is σ = 70231. Its totient is φ = 16192.

The previous prime is 33851. The next prime is 33857. The reversal of 33856 is 65833.

Multipling 33856 by its sum of digits (25), we get a square (846400 = 9202).

33856 = T13 + T14 + ... + T58.

The square root of 33856 is 184.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×338562 = 2292457472, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 33856.

It is not an unprimeable number, because it can be changed into a prime (33851) by changing a digit.

33856 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 (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1461 + ... + 1483.

233856 is an apocalyptic number.

33856 is the 184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33856

33856 is an abundant number, since it is smaller than the sum of its proper divisors (36375).

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

33856 is an equidigital number, since it uses as much as digits as its factorization.

33856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The cubic root of 33856 is about 32.3503175964.

The spelling of 33856 in words is "thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 16928 33856