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164093823 = 3319794049
BaseRepresentation
bin10011100011111…
…01111101111111
3102102202211102000
421301331331333
5314002000243
624141033343
74031526435
oct1161757577
9372684360
10164093823
1184699133
1246b55853
1327cc4c4a
1417b16d55
15e6155d3
hex9c7df7f

164093823 has 32 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 102301056.

The previous prime is 164093801. The next prime is 164093837. The reversal of 164093823 is 328390461.

164093823 is a `hidden beast` number, since 1 + 640 + 9 + 3 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 164093823 - 26 = 164093759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164093623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38503 + ... + 42551.

It is an arithmetic number, because the mean of its divisors is an integer number (8100000).

Almost surely, 2164093823 is an apocalyptic number.

164093823 is a deficient number, since it is larger than the sum of its proper divisors (95106177).

164093823 is a wasteful number, since it uses less digits than its factorization.

164093823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164093823 is about 12809.9111238135. The cubic root of 164093823 is about 547.4747295523.

It can be divided in two parts, 1640938 and 23, that added together give a square (1640961 = 12812).

The spelling of 164093823 in words is "one hundred sixty-four million, ninety-three thousand, eight hundred twenty-three".

Divisors: 1 3 9 19 27 57 79 171 237 513 711 1501 2133 4049 4503 12147 13509 36441 40527 76931 109323 230793 319871 692379 959613 2077137 2878839 6077549 8636517 18232647 54697941 164093823