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82335372 = 22375631741
BaseRepresentation
bin1001110100001…
…01011010001100
312201221001220020
410322011122030
5132034212442
612100422140
72016560550
oct472053214
9181831806
1082335372
1142526869
12236a7950
131409a372
14ad13860
1573659ec
hex4e8568c

82335372 has 48 divisors (see below), whose sum is σ = 220077312. Its totient is φ = 23469120.

The previous prime is 82335343. The next prime is 82335373. The reversal of 82335372 is 27353328.

It is a super-2 number, since 2×823353722 = 13558226964756768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82335373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46422 + ... + 48162.

It is an arithmetic number, because the mean of its divisors is an integer number (4584944).

Almost surely, 282335372 is an apocalyptic number.

It is an amenable number.

82335372 is an abundant number, since it is smaller than the sum of its proper divisors (137741940).

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

82335372 is a wasteful number, since it uses less digits than its factorization.

82335372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2316 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 82335372 is about 9073.8840636191. The cubic root of 82335372 is about 435.0396264601.

The spelling of 82335372 in words is "eighty-two million, three hundred thirty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 563 1126 1689 1741 2252 3378 3482 3941 5223 6756 6964 7882 10446 11823 12187 15764 20892 23646 24374 36561 47292 48748 73122 146244 980183 1960366 2940549 3920732 5881098 6861281 11762196 13722562 20583843 27445124 41167686 82335372