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166502052 = 22329747681
BaseRepresentation
bin10011110110010…
…01111010100100
3102121022011212200
421323021322210
5320111031202
624304414500
74061146503
oct1173117244
9377264780
10166502052
1185a93502
1247917430
1328659132
141818283a
15e93de1c
hex9ec9ea4

166502052 has 36 divisors (see below), whose sum is σ = 425228076. Its totient is φ = 54927360.

The previous prime is 166502047. The next prime is 166502053. The reversal of 166502052 is 250205661.

166502052 is a `hidden beast` number, since 1 + 6 + 650 + 2 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51926436 + 114575616 = 7206^2 + 10704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (166502053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20349 + ... + 27332.

It is an arithmetic number, because the mean of its divisors is an integer number (11811891).

Almost surely, 2166502052 is an apocalyptic number.

166502052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166502052 is an abundant number, since it is smaller than the sum of its proper divisors (258726024).

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

166502052 is a wasteful number, since it uses less digits than its factorization.

166502052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47788 (or 47783 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 166502052 is about 12903.5674137039. The cubic root of 166502052 is about 550.1399665815.

The spelling of 166502052 in words is "one hundred sixty-six million, five hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 47681 95362 143043 190724 286086 429129 572172 858258 1716516 4625057 9250114 13875171 18500228 27750342 41625513 55500684 83251026 166502052