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82321232 = 2472331957
BaseRepresentation
bin1001110100000…
…01111101010000
312201220100111112
410322001331100
5132033234412
612100232452
72016501410
oct472017520
9181810445
1082321232
1142517184
122369b728
1314093ab6
14ad0c640
157361722
hex4e81f50

82321232 has 40 divisors (see below), whose sum is σ = 190214016. Its totient is φ = 33745536.

The previous prime is 82321219. The next prime is 82321237. The reversal of 82321232 is 23212328.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 82321198 and 82321207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82321237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13403 + ... + 18554.

Almost surely, 282321232 is an apocalyptic number.

It is an amenable number.

82321232 is an abundant number, since it is smaller than the sum of its proper divisors (107892784).

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

82321232 is a wasteful number, since it uses less digits than its factorization.

82321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31995 (or 31989 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 82321232 is about 9073.1048709910. The cubic root of 82321232 is about 435.0147209534.

The spelling of 82321232 in words is "eighty-two million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 31957 63914 127828 223699 255656 447398 511312 735011 894796 1470022 1789592 2940044 3579184 5145077 5880088 10290154 11760176 20580308 41160616 82321232