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45890209 = 295373409
BaseRepresentation
bin1010111100001…
…1101010100001
310012100110112101
42233003222201
543221441314
64315330401
71065026461
oct257035241
9105313471
1045890209
11239a3aa2
1213450a01
139679891
146147ba1
154067174
hex2bc3aa1

45890209 has 16 divisors (see below), whose sum is σ = 49150800. Its totient is φ = 42771456.

The previous prime is 45890167. The next prime is 45890281. The reversal of 45890209 is 90209854.

45890209 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 8 ways, for example, as 7102225 + 38787984 = 2665^2 + 6228^2 .

It is a 2-Lehmer number, since φ(45890209) divides (45890209-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 45890209 - 217 = 45759137 is a prime.

It is a super-2 number, since 2×458902092 = 4211822564127362, which contains 22 as substring.

It is a deceptive number, since it divides R45890208.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45890309) 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 15 ways as a sum of consecutive naturals, for example, 111997 + ... + 112405.

It is an arithmetic number, because the mean of its divisors is an integer number (3071925).

It is a Poulet number, since it divides 245890208-1.

Almost surely, 245890209 is an apocalyptic number.

It is an amenable number.

45890209 is a deficient number, since it is larger than the sum of its proper divisors (3260591).

45890209 is a wasteful number, since it uses less digits than its factorization.

45890209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 45890209 is about 6774.2312478982. The cubic root of 45890209 is about 358.0194973932.

The spelling of 45890209 in words is "forty-five million, eight hundred ninety thousand, two hundred nine".

Divisors: 1 29 53 73 409 1537 2117 3869 11861 21677 29857 112201 628633 865853 1582421 45890209