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82327104 = 263415881
BaseRepresentation
bin1001110100000…
…11011001000000
312201220122120000
410322003121000
5132033431404
612100320000
72016524466
oct472033100
9181818500
1082327104
1142520632
12236a3000
1314096682
14ad10836
157363339
hex4e83640

82327104 has 70 divisors (see below), whose sum is σ = 244058694. Its totient is φ = 27440640.

The previous prime is 82327093. The next prime is 82327111. The reversal of 82327104 is 40172328.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 1327104 = 9000^2 + 1152^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2757 + ... + 13124.

Almost surely, 282327104 is an apocalyptic number.

It is an amenable number.

82327104 is an abundant number, since it is smaller than the sum of its proper divisors (161731590).

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

82327104 is a wasteful number, since it uses less digits than its factorization.

82327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82327104 is about 9073.4284589674. The cubic root of 82327104 is about 435.0250639542.

The spelling of 82327104 in words is "eighty-two million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 15881 31762 47643 63524 95286 127048 142929 190572 254096 285858 381144 428787 508192 571716 762288 857574 1016384 1143432 1286361 1524576 1715148 2286864 2572722 3049152 3430296 4573728 5145444 6860592 9147456 10290888 13721184 20581776 27442368 41163552 82327104