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166082304 = 283297457
BaseRepresentation
bin10011110011000…
…11011100000000
3102120111212002110
421321203130000
5320004113204
624251415320
74054450653
oct1171433400
9376455073
10166082304
1185827103
1247754540
132854006b
14180b389a
15e8a9889
hex9e63700

166082304 has 72 divisors (see below), whose sum is σ = 457324560. Its totient is φ = 53444608.

The previous prime is 166082291. The next prime is 166082341. The reversal of 166082304 is 403280661.

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, 18544 + ... + 26000.

It is an arithmetic number, because the mean of its divisors is an integer number (6351730).

Almost surely, 2166082304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228662280).

166082304 is an abundant number, since it is smaller than the sum of its proper divisors (291242256).

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

166082304 is an equidigital number, since it uses as much as digits as its factorization.

166082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 166082304 is about 12887.2923455627. The cubic root of 166082304 is about 549.6772806499.

The spelling of 166082304 in words is "one hundred sixty-six million, eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 7457 11136 14914 22272 22371 29828 44742 59656 89484 119312 178968 216253 238624 357936 432506 477248 648759 715872 865012 954496 1297518 1431744 1730024 1908992 2595036 2863488 3460048 5190072 5726976 6920096 10380144 13840192 20760288 27680384 41520576 55360768 83041152 166082304