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45005090 = 2513438397
BaseRepresentation
bin1010101110101…
…1100100100010
310010200111101012
42223223210202
543010130330
64244340522
71054352114
oct253534442
9103614335
1045005090
1123449a99
12130a4742
139429a40
145d973b4
153e3ec95
hex2aeb922

45005090 has 64 divisors (see below), whose sum is σ = 91276416. Its totient is φ = 15869952.

The previous prime is 45005083. The next prime is 45005099. The reversal of 45005090 is 9050054.

45005090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45005099) 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 31 ways as a sum of consecutive naturals, for example, 463922 + ... + 464018.

It is an arithmetic number, because the mean of its divisors is an integer number (1426194).

Almost surely, 245005090 is an apocalyptic number.

45005090 is an abundant number, since it is smaller than the sum of its proper divisors (46271326).

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

45005090 is a wasteful number, since it uses less digits than its factorization.

45005090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 45005090 is about 6708.5833079720. The cubic root of 45005090 is about 355.7027407485.

It can be divided in two parts, 450050 and 90, that multiplied together give a triangular number (40504500 = T9000).

The spelling of 45005090 in words is "forty-five million, five thousand, ninety".

Divisors: 1 2 5 10 13 26 43 65 83 86 97 130 166 194 215 415 430 485 559 830 970 1079 1118 1261 2158 2522 2795 3569 4171 5395 5590 6305 7138 8051 8342 10790 12610 16102 17845 20855 35690 40255 41710 46397 54223 80510 92794 104663 108446 209326 231985 271115 346193 463970 523315 542230 692386 1046630 1730965 3461930 4500509 9001018 22502545 45005090