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164375829 = 3259309559
BaseRepresentation
bin10011100110000…
…10110100010101
3102110022011020200
421303002310111
5314040011304
624151051113
74034112552
oct1163026425
9373264220
10164375829
1184870aa2
1247070a99
1328093407
1417b8ba29
15e66de39
hex9cc2d15

164375829 has 12 divisors (see below), whose sum is σ = 241456800. Its totient is φ = 107726184.

The previous prime is 164375819. The next prime is 164375837. The reversal of 164375829 is 928573461.

164375829 is a `hidden beast` number, since 1 + 64 + 3 + 7 + 582 + 9 = 666.

It is not a de Polignac number, because 164375829 - 25 = 164375797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164375819) 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 11 ways as a sum of consecutive naturals, for example, 154249 + ... + 155310.

It is an arithmetic number, because the mean of its divisors is an integer number (20121400).

Almost surely, 2164375829 is an apocalyptic number.

It is an amenable number.

164375829 is a deficient number, since it is larger than the sum of its proper divisors (77080971).

164375829 is a wasteful number, since it uses less digits than its factorization.

164375829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309624 (or 309621 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 164375829 is about 12820.9137349878. The cubic root of 164375829 is about 547.7881738091.

The spelling of 164375829 in words is "one hundred sixty-four million, three hundred seventy-five thousand, eight hundred twenty-nine".

Divisors: 1 3 9 59 177 531 309559 928677 2786031 18263981 54791943 164375829