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164053287 = 32971131663
BaseRepresentation
bin10011100011101…
…00000100100111
3102102200202210200
421301310010213
5313444201122
624140121543
74031300316
oct1161640447
9372622720
10164053287
1184670732
1246b362b3
1327cac668
1417b0627d
15e6085ac
hex9c74127

164053287 has 24 divisors (see below), whose sum is σ = 241672704. Its totient is φ = 107218944.

The previous prime is 164053249. The next prime is 164053291. The reversal of 164053287 is 782350461.

164053287 is a `hidden beast` number, since 1 + 6 + 40 + 532 + 87 = 666.

It is not a de Polignac number, because 164053287 - 26 = 164053223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164053207) 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 23 ways as a sum of consecutive naturals, for example, 97818 + ... + 99480.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2164053287 is an apocalyptic number.

164053287 is a deficient number, since it is larger than the sum of its proper divisors (77619417).

164053287 is a wasteful number, since it uses less digits than its factorization.

164053287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 164053287 is about 12808.3288137056. The cubic root of 164053287 is about 547.4296450536.

The spelling of 164053287 in words is "one hundred sixty-four million, fifty-three thousand, two hundred eighty-seven".

Divisors: 1 3 9 97 113 291 339 873 1017 1663 4989 10961 14967 32883 98649 161311 187919 483933 563757 1451799 1691271 18228143 54684429 164053287