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164842820 = 2258242141
BaseRepresentation
bin10011101001101…
…00110101000100
3102111011212211122
421310310311010
5314144432240
624205053112
74041066212
oct1164646504
9374155748
10164842820
118505a93a
1247257198
13281c7b3c
1417c6dcb2
15e7124b5
hex9d34d44

164842820 has 12 divisors (see below), whose sum is σ = 346169964. Its totient is φ = 65937120.

The previous prime is 164842819. The next prime is 164842823. The reversal of 164842820 is 28248461.

It can be written as a sum of positive squares in 2 ways, for example, as 50438404 + 114404416 = 7102^2 + 10696^2 .

It is not an unprimeable number, because it can be changed into a prime (164842823) 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 3 ways as a sum of consecutive naturals, for example, 4121051 + ... + 4121090.

It is an arithmetic number, because the mean of its divisors is an integer number (28847497).

Almost surely, 2164842820 is an apocalyptic number.

164842820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164842820 is an abundant number, since it is smaller than the sum of its proper divisors (181327144).

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

164842820 is a wasteful number, since it uses less digits than its factorization.

164842820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242150 (or 8242148 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 164842820 is about 12839.1128977044. The cubic root of 164842820 is about 548.3064379126.

The spelling of 164842820 in words is "one hundred sixty-four million, eight hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 8242141 16484282 32968564 41210705 82421410 164842820