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45082206 = 232133741127
BaseRepresentation
bin1010101111111…
…0011001011110
310010211102011100
42223332121132
543020112311
64250133530
71055123001
oct253763136
9103742140
1045082206
11234a1a24
12131212a6
139455b80
145db7538
153e57a56
hex2afe65e

45082206 has 96 divisors (see below), whose sum is σ = 111541248. Its totient is φ = 13063680.

The previous prime is 45082201. The next prime is 45082207. The reversal of 45082206 is 60228054.

45082206 is a `hidden beast` number, since 450 + 8 + 2 + 206 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45082206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45082201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354915 + ... + 355041.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 245082206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45082206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770624).

45082206 is an abundant number, since it is smaller than the sum of its proper divisors (66459042).

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

45082206 is a wasteful number, since it uses less digits than its factorization.

45082206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45082206 is about 6714.3284101986. The cubic root of 45082206 is about 355.9057897828.

The spelling of 45082206 in words is "forty-five million, eighty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 37 39 41 74 78 82 111 117 123 127 222 234 246 254 333 369 381 481 533 666 738 762 962 1066 1143 1443 1517 1599 1651 2286 2886 3034 3198 3302 4329 4551 4699 4797 4953 5207 8658 9102 9398 9594 9906 10414 13653 14097 14859 15621 19721 27306 28194 29718 31242 39442 42291 46863 59163 61087 67691 84582 93726 118326 122174 135382 177489 183261 192659 203073 354978 366522 385318 406146 549783 577977 609219 1099566 1155954 1218438 1733931 2504567 3467862 5009134 7513701 15027402 22541103 45082206