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45020205 = 345891249
BaseRepresentation
bin1010101110111…
…1010000101101
310010201021010000
42223233100231
543011121310
64244534513
71054444146
oct253572055
9103637100
1045020205
112345a38a
12130b1439
139433899
145d9cacd
153e444c0
hex2aef42d

45020205 has 40 divisors (see below), whose sum is σ = 81675000. Its totient is φ = 23721984.

The previous prime is 45020203. The next prime is 45020207. The reversal of 45020205 is 50202054.

45020205 = T961 + T962 + ... + T1049.

It is an interprime number because it is at equal distance from previous prime (45020203) and next prime (45020207).

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 44475561 = 738^2 + 6669^2 .

It is not a de Polignac number, because 45020205 - 21 = 45020203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45020203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35421 + ... + 36669.

It is an arithmetic number, because the mean of its divisors is an integer number (2041875).

Almost surely, 245020205 is an apocalyptic number.

45020205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45020205 is a deficient number, since it is larger than the sum of its proper divisors (36654795).

45020205 is a wasteful number, since it uses less digits than its factorization.

45020205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45020205 is about 6709.7097552726. The cubic root of 45020205 is about 355.7425573200.

Adding to 45020205 its reverse (50202054), we get a palindrome (95222259).

The spelling of 45020205 in words is "forty-five million, twenty thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 89 135 267 405 445 801 1249 1335 2403 3747 4005 6245 7209 11241 12015 18735 33723 36045 56205 101169 111161 168615 333483 505845 555805 1000449 1667415 3001347 5002245 9004041 15006735 45020205