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82360872 = 233211103991
BaseRepresentation
bin1001110100010…
…11101000101000
312201222100212200
410322023220220
5132041021442
612101140200
72020025106
oct472135050
9181870780
1082360872
1142543a40
12236ba660
13140a8b59
14ad1cc76
15736d34c
hex4e8ba28

82360872 has 48 divisors (see below), whose sum is σ = 243341280. Its totient is φ = 24957600.

The previous prime is 82360871. The next prime is 82360909. The reversal of 82360872 is 27806328.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82360871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51204 + ... + 52787.

It is an arithmetic number, because the mean of its divisors is an integer number (5069610).

Almost surely, 282360872 is an apocalyptic number.

It is an amenable number.

82360872 is an abundant number, since it is smaller than the sum of its proper divisors (160980408).

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

82360872 is a wasteful number, since it uses less digits than its factorization.

82360872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104014 (or 104007 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82360872 is about 9075.2890863046. The cubic root of 82360872 is about 435.0845337102.

The spelling of 82360872 in words is "eighty-two million, three hundred sixty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 103991 207982 311973 415964 623946 831928 935919 1143901 1247892 1871838 2287802 2495784 3431703 3743676 4575604 6863406 7487352 9151208 10295109 13726812 20590218 27453624 41180436 82360872