Search a number
-
+
45082401 = 3721331761
BaseRepresentation
bin1010101111111…
…0011100100001
310010211102102120
42223332130201
543020114101
64250134453
71055123400
oct253763441
9103742376
1045082401
11234a2091
1213121429
139455ca0
145db7637
153e57b36
hex2afe721

45082401 has 48 divisors (see below), whose sum is σ = 77833728. Its totient is φ = 22982400.

The previous prime is 45082343. The next prime is 45082451. The reversal of 45082401 is 10428054.

It is not a de Polignac number, because 45082401 - 26 = 45082337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45082451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58861 + ... + 59621.

It is an arithmetic number, because the mean of its divisors is an integer number (1621536).

Almost surely, 245082401 is an apocalyptic number.

It is an amenable number.

45082401 is a deficient number, since it is larger than the sum of its proper divisors (32751327).

45082401 is a wasteful number, since it uses less digits than its factorization.

45082401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45082401 is about 6714.3429313671. The cubic root of 45082401 is about 355.9063029308.

The spelling of 45082401 in words is "forty-five million, eighty-two thousand, four hundred one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 651 761 1209 1519 1911 2283 2821 4557 5327 8463 9893 15981 19747 23591 29679 37289 59241 69251 70773 111867 165137 207753 306683 484757 495411 920049 1155959 1454271 2146781 3467877 6440343 15027467 45082401