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82325360 = 2451379159
BaseRepresentation
bin1001110100000…
…10111101110000
312201220120011102
410322002331300
5132033402420
612100303532
72016516425
oct472027560
9181816142
1082325360
114251a297
12236a1ba8
1314095940
14ad0dd4c
157362a75
hex4e82f70

82325360 has 40 divisors (see below), whose sum is σ = 206132640. Its totient is φ = 30396672.

The previous prime is 82325357. The next prime is 82325363. The reversal of 82325360 is 6352328.

It is an interprime number because it is at equal distance from previous prime (82325357) and next prime (82325363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82325363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38540 + ... + 40619.

It is an arithmetic number, because the mean of its divisors is an integer number (5153316).

Almost surely, 282325360 is an apocalyptic number.

82325360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82325360 is an abundant number, since it is smaller than the sum of its proper divisors (123807280).

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

82325360 is a wasteful number, since it uses less digits than its factorization.

82325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79185 (or 79179 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 82325360 is about 9073.3323536615. The cubic root of 82325360 is about 435.0219921061.

Adding to 82325360 its reverse (6352328), we get a palindrome (88677688).

The spelling of 82325360 in words is "eighty-two million, three hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 79159 158318 316636 395795 633272 791590 1029067 1266544 1583180 2058134 3166360 4116268 5145335 6332720 8232536 10290670 16465072 20581340 41162680 82325360