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166929048 = 2332111331523
BaseRepresentation
bin10011111001100…
…10001010011000
3102122002212121100
421330302022120
5320213212143
624321511400
74064605416
oct1174621230
9378085540
10166929048
11862552a0
1247aa2560
13287785b0
14182542b6
15e9c56d3
hex9f32298

166929048 has 192 divisors, whose sum is σ = 549319680. Its totient is φ = 45100800.

The previous prime is 166929043. The next prime is 166929071. The reversal of 166929048 is 840929661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 166928994 and 166929012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166929043) 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 47 ways as a sum of consecutive naturals, for example, 318915 + ... + 319437.

It is an arithmetic number, because the mean of its divisors is an integer number (2861040).

Almost surely, 2166929048 is an apocalyptic number.

166929048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166929048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274659840).

166929048 is an abundant number, since it is smaller than the sum of its proper divisors (382390632).

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

166929048 is a wasteful number, since it uses less digits than its factorization.

166929048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 166929048 is about 12920.1024763738. The cubic root of 166929048 is about 550.6098447610.

The spelling of 166929048 in words is "one hundred sixty-six million, nine hundred twenty-nine thousand, forty-eight".