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82127144 = 2311933263
BaseRepresentation
bin1001110010100…
…10100100101000
312201112111021002
410321102210220
5132011032034
612052134132
72015032511
oct471224450
9181474232
1082127144
11423a4380
1223607348
1314026658
14ac9ba08
157323e7e
hex4e52928

82127144 has 16 divisors (see below), whose sum is σ = 167987520. Its totient is φ = 37330480.

The previous prime is 82127099. The next prime is 82127147. The reversal of 82127144 is 44172128.

It is not an unprimeable number, because it can be changed into a prime (82127147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466544 + ... + 466719.

It is an arithmetic number, because the mean of its divisors is an integer number (10499220).

Almost surely, 282127144 is an apocalyptic number.

It is an amenable number.

82127144 is an abundant number, since it is smaller than the sum of its proper divisors (85860376).

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

82127144 is a wasteful number, since it uses less digits than its factorization.

82127144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933280 (or 933276 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 82127144 is about 9062.4027718922. The cubic root of 82127144 is about 434.6725752058.

The spelling of 82127144 in words is "eighty-two million, one hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 933263 1866526 3733052 7466104 10265893 20531786 41063572 82127144