Search a number
-
+
166638852 = 22327363409
BaseRepresentation
bin10011110111010…
…11010100000100
3102121120010112100
421323223110010
5320124420402
624311352100
74062256362
oct1173532404
9377503470
10166638852
1186077266
1247982630
13286a6493
14181ba632
15e96971c
hex9eeb504

166638852 has 36 divisors (see below), whose sum is σ = 427002940. Its totient is φ = 54784512.

The previous prime is 166638839. The next prime is 166638853. The reversal of 166638852 is 258836661.

166638852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46867716 + 119771136 = 6846^2 + 10944^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 166638798 and 166638807.

It is not an unprimeable number, because it can be changed into a prime (166638853) 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, 29077 + ... + 34332.

Almost surely, 2166638852 is an apocalyptic number.

166638852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166638852 is an abundant number, since it is smaller than the sum of its proper divisors (260364088).

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

166638852 is a wasteful number, since it uses less digits than its factorization.

166638852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63492 (or 63487 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 166638852 is about 12908.8671850012. The cubic root of 166638852 is about 550.2905924440.

The spelling of 166638852 in words is "one hundred sixty-six million, six hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 63409 126818 190227 253636 380454 570681 760908 1141362 2282724 4628857 9257714 13886571 18515428 27773142 41659713 55546284 83319426 166638852