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166323248 = 24721316319
BaseRepresentation
bin10011110100111…
…10010000110000
3102120222002121022
421322132100300
5320034320443
624300515012
74056503300
oct1172362060
9376862538
10166323248
1185981133
124784ba68
13285c5930
1418137600
15e905e68
hex9e9e430

166323248 has 60 divisors (see below), whose sum is σ = 403724160. Its totient is φ = 65794176.

The previous prime is 166323239. The next prime is 166323259. The reversal of 166323248 is 842323661.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2033 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2166323248 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 166323248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

166323248 is an abundant number, since it is smaller than the sum of its proper divisors (237400912).

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

166323248 is a wasteful number, since it uses less digits than its factorization.

166323248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 16341 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 166323248 is about 12896.6370810378. The cubic root of 166323248 is about 549.9429670889.

The spelling of 166323248 in words is "one hundred sixty-six million, three hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 16319 32638 65276 114233 130552 212147 228466 261104 424294 456932 799631 848588 913864 1485029 1599262 1697176 1827728 2970058 3198524 3394352 5940116 6397048 10395203 11880232 12794096 20790406 23760464 41580812 83161624 166323248