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45091225 = 52172792
BaseRepresentation
bin1010110000000…
…0100110011001
310010211212112101
42230000212121
543020404400
64250243401
71055161204
oct254004631
9103755471
1045091225
11234a8783
1213126561
139459cca
145dba93b
153e5a56a
hex2b00999

45091225 has 27 divisors (see below), whose sum is σ = 60156957. Its totient is φ = 33521280.

The previous prime is 45091213. The next prime is 45091231. The reversal of 45091225 is 52219054.

The square root of 45091225 is 6715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1054729 + 44036496 = 1027^2 + 6636^2 .

It is not a de Polignac number, because 45091225 - 27 = 45091097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45091193 and 45091202.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 570736 + ... + 570814.

Almost surely, 245091225 is an apocalyptic number.

45091225 is the 6715-th square number.

45091225 is the 3358-th centered octagonal number.

It is an amenable number.

45091225 is a deficient number, since it is larger than the sum of its proper divisors (15065732).

45091225 is an equidigital number, since it uses as much as digits as its factorization.

45091225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 45091225 is about 355.9295219865.

Multiplying 45091225 by its product of nonzero digits (3600), we get a square (162328410000 = 4029002).

The spelling of 45091225 in words is "forty-five million, ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 79 85 289 395 425 1343 1445 1975 6241 6715 7225 22831 31205 33575 106097 114155 156025 530485 570775 1803649 2652425 9018245 45091225