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166516248 = 233531091201
BaseRepresentation
bin10011110110011…
…01011000011000
3102121022220100110
421323031120120
5320112004443
624305004320
74061236053
oct1173153030
9377286313
10166516248
1185aa3138
12479236a0
1328662732
1418187a9a
15e943233
hex9ecd618

166516248 has 64 divisors (see below), whose sum is σ = 428392800. Its totient is φ = 53913600.

The previous prime is 166516237. The next prime is 166516249. The reversal of 166516248 is 842615661.

It is a happy number.

166516248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166516249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138048 + ... + 139248.

Almost surely, 2166516248 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 166516248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214196400).

166516248 is an abundant number, since it is smaller than the sum of its proper divisors (261876552).

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

166516248 is a wasteful number, since it uses less digits than its factorization.

166516248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 166516248 is about 12904.1174824162. The cubic root of 166516248 is about 550.1556011536.

The spelling of 166516248 in words is "one hundred sixty-six million, five hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 109 159 212 218 318 327 424 436 636 654 872 1201 1272 1308 2402 2616 3603 4804 5777 7206 9608 11554 14412 17331 23108 28824 34662 46216 63653 69324 127306 130909 138648 190959 254612 261818 381918 392727 509224 523636 763836 785454 1047272 1527672 1570908 3141816 6938177 13876354 20814531 27752708 41629062 55505416 83258124 166516248