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82300896 = 2532285767
BaseRepresentation
bin1001110011111…
…00111111100000
312201212022121100
410321330333200
5132032112041
612055554400
72016355206
oct471747740
9181768540
1082300896
1142502977
122368ba00
1314087772
14ad05076
15735a6b6
hex4e7cfe0

82300896 has 36 divisors (see below), whose sum is σ = 234043992. Its totient is φ = 27433536.

The previous prime is 82300871. The next prime is 82300903. The reversal of 82300896 is 69800328.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82300896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142596 + ... + 143171.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 282300896 is an apocalyptic number.

It is an amenable number.

82300896 is an abundant number, since it is smaller than the sum of its proper divisors (151743096).

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

82300896 is a wasteful number, since it uses less digits than its factorization.

82300896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285783 (or 285772 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82300896 is about 9071.9841269702. The cubic root of 82300896 is about 434.9788971134.

The spelling of 82300896 in words is "eighty-two million, three hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 285767 571534 857301 1143068 1714602 2286136 2571903 3429204 4572272 5143806 6858408 9144544 10287612 13716816 20575224 27433632 41150448 82300896