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82985562 = 232111073917
BaseRepresentation
bin1001111001001…
…00001001011010
312210011002210100
410330210021122
5132221014222
612122400230
72025236262
oct474441132
9183132710
1082985562
1142930310
1223960076
13142672aa
14b0427a2
1574434ac
hex4f2425a

82985562 has 48 divisors (see below), whose sum is σ = 198031392. Its totient is φ = 24905760.

The previous prime is 82985549. The next prime is 82985563. The reversal of 82985562 is 26558928.

82985562 is a `hidden beast` number, since 8 + 2 + 9 + 85 + 562 = 666.

It is not an unprimeable number, because it can be changed into a prime (82985563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19228 + ... + 23144.

It is an arithmetic number, because the mean of its divisors is an integer number (4125654).

Almost surely, 282985562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82985562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99015696).

82985562 is an abundant number, since it is smaller than the sum of its proper divisors (115045830).

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

82985562 is a wasteful number, since it uses less digits than its factorization.

82985562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4040 counting only the distinct ones).

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

The square root of 82985562 is about 9109.6411564891. The cubic root of 82985562 is about 436.1817726762.

The spelling of 82985562 in words is "eighty-two million, nine hundred eighty-five thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 3917 7062 7834 10593 11751 21186 23502 35253 43087 70506 86174 129261 258522 387783 419119 775566 838238 1257357 2514714 3772071 4610309 7544142 9220618 13830927 27661854 41492781 82985562