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84012825 = 35213199433
BaseRepresentation
bin1010000000111…
…10111100011001
312212002021221010
411000132330121
5133001402300
612200404133
72040045231
oct500367431
9185067833
1084012825
1143472096
1224176649
1314536a40
14b22ccc1
157597a50
hex501ef19

84012825 has 48 divisors (see below), whose sum is σ = 150684800. Its totient is φ = 41057280.

The previous prime is 84012811. The next prime is 84012871. The reversal of 84012825 is 52821048.

It is not a de Polignac number, because 84012825 - 223 = 75624217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84012792 and 84012801.

It is an unprimeable number.

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, 193809 + ... + 194241.

Almost surely, 284012825 is an apocalyptic number.

It is an amenable number.

84012825 is a deficient number, since it is larger than the sum of its proper divisors (66671975).

84012825 is a wasteful number, since it uses less digits than its factorization.

84012825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 84012825 is about 9165.8510243185. The cubic root of 84012825 is about 437.9742014787.

The spelling of 84012825 in words is "eighty-four million, twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 199 325 433 597 975 995 1299 2165 2587 2985 4975 5629 6495 7761 10825 12935 14925 16887 28145 32475 38805 64675 84435 86167 140725 194025 258501 422175 430835 1120171 1292505 2154175 3360513 5600855 6462525 16802565 28004275 84012825