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166315552 = 2513401997
BaseRepresentation
bin10011110100111…
…00011000100000
3102120221201001021
421322130120200
5320034044202
624300415224
74056441664
oct1172343040
9376851037
10166315552
1185976377
1247847514
13285c2290
14181348a4
15e903a37
hex9e9c620

166315552 has 48 divisors (see below), whose sum is σ = 353854872. Its totient is φ = 76492800.

The previous prime is 166315519. The next prime is 166315571. The reversal of 166315552 is 255513661.

166315552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165997456 + 318096 = 12884^2 + 564^2 .

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, 166318 + ... + 167314.

Almost surely, 2166315552 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 166315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176927436).

166315552 is an abundant number, since it is smaller than the sum of its proper divisors (187539320).

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

166315552 is a wasteful number, since it uses less digits than its factorization.

166315552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The square root of 166315552 is about 12896.3387052295. The cubic root of 166315552 is about 549.9344847582.

The spelling of 166315552 in words is "one hundred sixty-six million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 401 416 802 997 1604 1994 3208 3988 5213 6416 7976 10426 12832 12961 15952 20852 25922 31904 41704 51844 83408 103688 166816 207376 399797 414752 799594 1599188 3198376 5197361 6396752 10394722 12793504 20789444 41578888 83157776 166315552