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82985625 = 325414753
BaseRepresentation
bin1001111001001…
…00001010011001
312210011002212200
410330210022121
5132221020000
612122400413
72025236412
oct474441231
9183132780
1082985625
1142930368
1223960109
1314267328
14b042809
157443500
hex4f24299

82985625 has 30 divisors (see below), whose sum is σ = 149797362. Its totient is φ = 44256000.

The previous prime is 82985621. The next prime is 82985627. The reversal of 82985625 is 52658928.

82985625 is a `hidden beast` number, since 82 + 9 + 8 + 562 + 5 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 32901696 + 50083929 = 5736^2 + 7077^2 .

It is not a de Polignac number, because 82985625 - 22 = 82985621 is a prime.

It is a super-2 number, since 2×829856252 = 13773227913281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82985621) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752 + ... + 13001.

Almost surely, 282985625 is an apocalyptic number.

It is an amenable number.

82985625 is a deficient number, since it is larger than the sum of its proper divisors (66811737).

82985625 is a wasteful number, since it uses less digits than its factorization.

82985625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14761 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 82985625 is about 9109.6446143634. The cubic root of 82985625 is about 436.1818830546.

The spelling of 82985625 in words is "eighty-two million, nine hundred eighty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 14753 44259 73765 132777 221295 368825 663885 1106475 1844125 3319425 5532375 9220625 16597125 27661875 82985625