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45521536 = 272291553
BaseRepresentation
bin1010110110100…
…1101010000000
310011122201210211
42231221222000
543123142121
64303403504
71061632564
oct255515200
9104581724
1045521536
1123772005
12132b3594
13957ab28
14608d6a4
153ee2ce1
hex2b69a80

45521536 has 32 divisors (see below), whose sum is σ = 91142100. Its totient is φ = 22646784.

The previous prime is 45521519. The next prime is 45521537. The reversal of 45521536 is 63512554.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 40000 = 6744^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 45521498 and 45521507.

It is not an unprimeable number, because it can be changed into a prime (45521537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28536 + ... + 30088.

Almost surely, 245521536 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 45521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571050).

45521536 is an abundant number, since it is smaller than the sum of its proper divisors (45620564).

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

45521536 is a wasteful number, since it uses less digits than its factorization.

45521536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its digits is 18000, while the sum is 31.

The square root of 45521536 is about 6746.9649472930. The cubic root of 45521536 is about 357.0581654266.

The spelling of 45521536 in words is "forty-five million, five hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1553 1832 3106 3664 6212 7328 12424 14656 24848 29312 49696 99392 198784 355637 711274 1422548 2845096 5690192 11380384 22760768 45521536