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82127376 = 2432570329
BaseRepresentation
bin1001110010100…
…10101000010000
312201112111120200
410321102220100
5132011034001
612052135200
72015033262
oct471225020
9181474520
1082127376
11423a4571
1223607500
13140267a6
14ac9bb32
157324086
hex4e52a10

82127376 has 30 divisors (see below), whose sum is σ = 229842990. Its totient is φ = 27375744.

The previous prime is 82127347. The next prime is 82127393. The reversal of 82127376 is 67372128.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 29419776 = 7260^2 + 5424^2 .

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 82127376.

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, 285021 + ... + 285308.

It is an arithmetic number, because the mean of its divisors is an integer number (7661433).

Almost surely, 282127376 is an apocalyptic number.

It is an amenable number.

82127376 is an abundant number, since it is smaller than the sum of its proper divisors (147715614).

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

82127376 is a wasteful number, since it uses less digits than its factorization.

82127376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570343 (or 570334 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82127376 is about 9062.4155720205. The cubic root of 82127376 is about 434.6729845059.

The spelling of 82127376 in words is "eighty-two million, one hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 570329 1140658 1710987 2281316 3421974 4562632 5132961 6843948 9125264 10265922 13687896 20531844 27375792 41063688 82127376