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84533625 = 355311223
BaseRepresentation
bin1010000100111…
…10000101111001
312220001202100000
411002132011321
5133120034000
612215503213
72044344501
oct502360571
9186052300
1084533625
1143798400
1224387b09
1314689ac7
14b326a01
15764c000
hex509e179

84533625 has 144 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 39204000.

The previous prime is 84533611. The next prime is 84533627. The reversal of 84533625 is 52633548.

It is a happy number.

It is not a de Polignac number, because 84533625 - 24 = 84533609 is a prime.

Its product of digits (86400) is a multiple of the sum of its prime factors (75).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84533625.

It is not an unprimeable number, because it can be changed into a prime (84533627) 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 143 ways as a sum of consecutive naturals, for example, 3675364 + ... + 3675386.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 284533625 is an apocalyptic number.

It is an amenable number.

84533625 is an abundant number, since it is smaller than the sum of its proper divisors (96720903).

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

84533625 is a wasteful number, since it uses less digits than its factorization.

84533625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 84533625 is about 9194.2169323983. The cubic root of 84533625 is about 438.8773463349.

It can be divided in two parts, 84533 and 625, that added together give a palindrome (85158).

The spelling of 84533625 in words is "eighty-four million, five hundred thirty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 69 75 81 99 115 121 125 135 165 207 225 243 253 275 297 345 363 375 405 495 575 605 621 675 759 825 891 1035 1089 1125 1215 1265 1375 1485 1725 1815 1863 2025 2277 2475 2673 2783 2875 3025 3105 3267 3375 3795 4125 4455 5175 5445 5589 6075 6325 6831 7425 8349 8625 9075 9315 9801 10125 11385 12375 13365 13915 15125 15525 16335 18975 20493 22275 25047 25875 27225 27945 29403 30375 31625 34155 37125 41745 45375 46575 49005 56925 61479 66825 69575 75141 77625 81675 94875 102465 111375 125235 136125 139725 147015 170775 208725 225423 232875 245025 284625 307395 334125 347875 375705 408375 512325 626175 676269 698625 735075 853875 1043625 1127115 1225125 1536975 1878525 2561625 3130875 3381345 3675375 5635575 7684875 9392625 16906725 28177875 84533625