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45382575 = 3527253233
BaseRepresentation
bin1010110100011…
…1101110101111
310011101200012010
42231013232233
543104220300
64300412303
71060513500
oct255075657
9104350163
1045382575
1123687667
1213247093
13952c7c4
146054ba7
153eb6a50
hex2b47baf

45382575 has 72 divisors (see below), whose sum is σ = 89311248. Its totient is φ = 20267520.

The previous prime is 45382559. The next prime is 45382591. The reversal of 45382575 is 57528354.

It is an interprime number because it is at equal distance from previous prime (45382559) and next prime (45382591).

It is not a de Polignac number, because 45382575 - 24 = 45382559 is a prime.

It is a super-2 number, since 2×453825752 = 4119156227261250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 194659 + ... + 194891.

It is an arithmetic number, because the mean of its divisors is an integer number (1240434).

Almost surely, 245382575 is an apocalyptic number.

45382575 is a deficient number, since it is larger than the sum of its proper divisors (43928673).

45382575 is a wasteful number, since it uses less digits than its factorization.

45382575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 45382575 is about 6736.6590384255. The cubic root of 45382575 is about 356.6944713914.

It can be divided in two parts, 453 and 82575, that added together give a triangular number (83028 = T407).

The spelling of 45382575 in words is "forty-five million, three hundred eighty-two thousand, five hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 53 75 105 147 159 175 233 245 265 371 525 699 735 795 1113 1165 1225 1325 1631 1855 2597 3495 3675 3975 4893 5565 5825 7791 8155 9275 11417 12349 12985 17475 24465 27825 34251 37047 38955 40775 57085 61745 64925 86443 122325 171255 185235 194775 259329 285425 308725 432215 605101 856275 926175 1296645 1815303 2161075 3025505 6483225 9076515 15127525 45382575