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166628832 = 25317102101
BaseRepresentation
bin10011110111010…
…00110111100000
3102121112121210020
421323220313200
5320124110312
624311233440
74062215226
oct1173506740
9377477706
10166628832
118606a787
1247978880
13286a1a56
14181b6b16
15e96678c
hex9ee8de0

166628832 has 48 divisors (see below), whose sum is σ = 463134672. Its totient is φ = 52275200.

The previous prime is 166628789. The next prime is 166628843. The reversal of 166628832 is 238826661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49419 + ... + 52682.

It is an arithmetic number, because the mean of its divisors is an integer number (9648639).

Almost surely, 2166628832 is an apocalyptic number.

166628832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166628832 is an abundant number, since it is smaller than the sum of its proper divisors (296505840).

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

166628832 is a wasteful number, since it uses less digits than its factorization.

166628832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102131 (or 102123 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 166628832 is about 12908.4790738491. The cubic root of 166628832 is about 550.2795625587.

The spelling of 166628832 in words is "one hundred sixty-six million, six hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 102101 204202 306303 408404 612606 816808 1225212 1633616 1735717 2450424 3267232 3471434 4900848 5207151 6942868 9801696 10414302 13885736 20828604 27771472 41657208 55542944 83314416 166628832