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45468049 = 1126132
BaseRepresentation
bin1010110101110…
…0100110010001
310011120000102211
42231130212101
543114434144
64302312121
71061320624
oct255344621
9104500384
1045468049
1123735900
1213288641
13955c693
146077dbb
153ed2034
hex2b5c991

45468049 has 9 divisors (see below), whose sum is σ = 50058939. Its totient is φ = 41267160.

The previous prime is 45468043. The next prime is 45468061. The reversal of 45468049 is 94086454.

The square root of 45468049 is 6743.

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

45468049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148225 + 45319824 = 385^2 + 6732^2 .

It is not a de Polignac number, because 45468049 - 219 = 44943761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45468043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73867 + ... + 74479.

Almost surely, 245468049 is an apocalyptic number.

45468049 is the 6743-rd square number.

45468049 is the 3372-nd centered octagonal number.

It is an amenable number.

45468049 is a deficient number, since it is larger than the sum of its proper divisors (4590890).

45468049 is an frugal number, since it uses more digits than its factorization.

45468049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The cubic root of 45468049 is about 356.9182649415.

The spelling of 45468049 in words is "forty-five million, four hundred sixty-eight thousand, forty-nine".

Divisors: 1 11 121 613 6743 74173 375769 4133459 45468049