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82405701 = 3372199313
BaseRepresentation
bin1001110100101…
…10100101000101
312202001122101000
410322112211011
5132043440301
612102123513
72020302600
oct472264505
9182048330
1082405701
1142574694
1223720599
13140c3391
14ad31337
15737b786
hex4e96945

82405701 has 48 divisors (see below), whose sum is σ = 143184000. Its totient is φ = 46702656.

The previous prime is 82405699. The next prime is 82405703. The reversal of 82405701 is 10750428.

It is an interprime number because it is at equal distance from previous prime (82405699) and next prime (82405703).

It is not a de Polignac number, because 82405701 - 21 = 82405699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82405703) 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 47 ways as a sum of consecutive naturals, for example, 263121 + ... + 263433.

It is an arithmetic number, because the mean of its divisors is an integer number (2983000).

Almost surely, 282405701 is an apocalyptic number.

It is an amenable number.

82405701 is a deficient number, since it is larger than the sum of its proper divisors (60778299).

82405701 is a wasteful number, since it uses less digits than its factorization.

82405701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82405701 is about 9077.7585889910. The cubic root of 82405701 is about 435.1634581898.

The spelling of 82405701 in words is "eighty-two million, four hundred five thousand, seven hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 199 313 441 597 939 1323 1393 1791 2191 2817 4179 5373 6573 8451 9751 12537 15337 19719 29253 37611 46011 59157 62287 87759 138033 186861 263277 414099 436009 560583 1308027 1681749 3052063 3924081 9156189 11772243 27468567 82405701