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45165056 = 29175189
BaseRepresentation
bin1010110001001…
…0101000000000
310010222121210212
42230102220000
543030240211
64252013252
71055616356
oct254225000
9103877725
1045165056
11235491a2
1213161228
1394847b1
145dd97d6
153e7238b
hex2b12a00

45165056 has 40 divisors (see below), whose sum is σ = 95568660. Its totient is φ = 21250048.

The previous prime is 45165053. The next prime is 45165091. The reversal of 45165056 is 65056154.

It can be written as a sum of positive squares in 2 ways, for example, as 41165056 + 4000000 = 6416^2 + 2000^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45165053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6110 + ... + 11298.

Almost surely, 245165056 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 45165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47784330).

45165056 is an abundant number, since it is smaller than the sum of its proper divisors (50403604).

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

45165056 is an equidigital number, since it uses as much as digits as its factorization.

45165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 45165056 is about 6720.4952198480. The cubic root of 45165056 is about 356.1236787798.

The spelling of 45165056 in words is "forty-five million, one hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 5189 8704 10378 20756 41512 83024 88213 166048 176426 332096 352852 664192 705704 1328384 1411408 2656768 2822816 5645632 11291264 22582528 45165056