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45116505 = 325733779
BaseRepresentation
bin1010110000011…
…0110001011001
310010220011012200
42230012301121
543022212010
64251000413
71055325000
oct254066131
9103804180
1045116505
1123515775
1213139109
139468675
145dc5c37
153e62cc0
hex2b06c59

45116505 has 96 divisors (see below), whose sum is σ = 94848000. Its totient is φ = 19813248.

The previous prime is 45116483. The next prime is 45116537. The reversal of 45116505 is 50561154.

It is a happy number.

45116505 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 650 + 5 = 666.

It is not a de Polignac number, because 45116505 - 25 = 45116473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571056 + ... + 571134.

It is an arithmetic number, because the mean of its divisors is an integer number (988000).

Almost surely, 245116505 is an apocalyptic number.

45116505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45116505 is an abundant number, since it is smaller than the sum of its proper divisors (49731495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45116505 is a wasteful number, since it uses less digits than its factorization.

45116505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 45116505 is about 6716.8820891839. The cubic root of 45116505 is about 355.9960258152.

Adding to 45116505 its reverse (50561154), we get a palindrome (95677659).

The spelling of 45116505 in words is "forty-five million, one hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 79 105 111 147 185 237 245 259 315 333 343 395 441 553 555 711 735 777 1029 1185 1295 1659 1665 1715 1813 2205 2331 2765 2923 3087 3555 3871 3885 4977 5145 5439 8295 8769 9065 11613 11655 12691 14615 15435 16317 19355 20461 24885 26307 27097 27195 34839 38073 43845 58065 61383 63455 81291 81585 102305 114219 131535 135485 143227 174195 184149 190365 243873 306915 406455 429681 571095 716135 920745 1002589 1219365 1289043 2148405 3007767 5012945 6445215 9023301 15038835 45116505