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45541561 = 1337731297
BaseRepresentation
bin1010110110111…
…0100010111001
310011200202021111
42231232202321
543124312221
64304040321
71062045142
oct255564271
9104622244
1045541561
112378605a
12133030a1
139586c90
146096ac9
153ee8be1
hex2b6e8b9

45541561 has 16 divisors (see below), whose sum is σ = 51099664. Its totient is φ = 40310784.

The previous prime is 45541549. The next prime is 45541583. The reversal of 45541561 is 16514554.

It can be written as a sum of positive squares in 8 ways, for example, as 7952400 + 37589161 = 2820^2 + 6131^2 .

It is a 9-Lehmer number, since φ(45541561) divides (45541561-1)9.

It is a cyclic number.

It is not a de Polignac number, because 45541561 - 211 = 45539513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45541501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34465 + ... + 35761.

It is an arithmetic number, because the mean of its divisors is an integer number (3193729).

Almost surely, 245541561 is an apocalyptic number.

It is an amenable number.

45541561 is a deficient number, since it is larger than the sum of its proper divisors (5558103).

45541561 is a wasteful number, since it uses less digits than its factorization.

45541561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its digits is 12000, while the sum is 31.

The square root of 45541561 is about 6748.4487847208. The cubic root of 45541561 is about 357.1105145797.

The spelling of 45541561 in words is "forty-five million, five hundred forty-one thousand, five hundred sixty-one".

Divisors: 1 13 37 73 481 949 1297 2701 16861 35113 47989 94681 623857 1230853 3503197 45541561