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82300452 = 223134312269
BaseRepresentation
bin1001110011111…
…00111000100100
312201212021222220
410321330320210
5132032103302
612055552340
72016354003
oct471747044
9181767886
1082300452
1142502603
122368b6b0
13140874c0
14ad04c3a
15735a4bc
hex4e7ce24

82300452 has 48 divisors (see below), whose sum is σ = 211632960. Its totient is φ = 24732288.

The previous prime is 82300447. The next prime is 82300453. The reversal of 82300452 is 25400328.

It is not an unprimeable number, because it can be changed into a prime (82300453) 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, 574 + ... + 12842.

It is an arithmetic number, because the mean of its divisors is an integer number (4409020).

Almost surely, 282300452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82300452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105816480).

82300452 is an abundant number, since it is smaller than the sum of its proper divisors (129332508).

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

82300452 is a wasteful number, since it uses less digits than its factorization.

82300452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12332 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82300452 is about 9071.9596559949. The cubic root of 82300452 is about 434.9781148984.

The spelling of 82300452 in words is "eighty-two million, three hundred thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 12269 24538 36807 49076 73614 147228 159497 318994 478491 527567 637988 956982 1055134 1582701 1913964 2110268 3165402 6330804 6858371 13716742 20575113 27433484 41150226 82300452