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45056 = 21211
BaseRepresentation
bin1011000000000000
32021210202
423000000
52420211
6544332
7245234
oct130000
967722
1045056
1130940
12220a8
131767b
14125c4
15d53b
hexb000

45056 has 26 divisors (see below), whose sum is σ = 98292. Its totient is φ = 20480.

The previous prime is 45053. The next prime is 45061. The reversal of 45056 is 65054.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 6 and base 16.

It is not an unprimeable number, because it can be changed into a prime (45053) by changing a digit.

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 as a sum of consecutive naturals, namely, 4091 + ... + 4101.

45056 is a Friedman number, since it can be written as (50-6)*4^5, using all its digits and the basic arithmetic operations.

245056 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 45056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49146).

45056 is an abundant number, since it is smaller than the sum of its proper divisors (53236).

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

45056 is an equidigital number, since it uses as much as digits as its factorization.

45056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45056 is about 212.2639865827. The cubic root of 45056 is about 35.5836814491.

It can be divided in two parts, 450 and 56, that multiplied together give a triangular number (25200 = T224).

The spelling of 45056 in words is "forty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 11264 22528 45056