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166334528 = 26173232
BaseRepresentation
bin10011110101000…
…01000001000000
3102120222200002002
421322201001000
5320040201103
624301043132
74056551213
oct1172410100
9376880062
10166334528
1185989658
12478564a8
13285caac9
141813b77a
15e909488
hex9ea1040

166334528 has 84 divisors (see below), whose sum is σ = 366605820. Its totient is φ = 74871808.

The previous prime is 166334527. The next prime is 166334543. The reversal of 166334528 is 825433661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 91546624 + 74787904 = 9568^2 + 8648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166334491 and 166334500.

It is not an unprimeable number, because it can be changed into a prime (166334521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7231925 + ... + 7231947.

It is an arithmetic number, because the mean of its divisors is an integer number (4364355).

Almost surely, 2166334528 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 166334528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183302910).

166334528 is an abundant number, since it is smaller than the sum of its proper divisors (200271292).

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

166334528 is an frugal number, since it uses more digits than its factorization.

166334528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 42 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 166334528 is about 12897.0743969320. The cubic root of 166334528 is about 549.9553991381.

The spelling of 166334528 in words is "one hundred sixty-six million, three hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 289 368 391 529 544 578 736 782 1058 1088 1156 1472 1564 2116 2312 3128 4232 4624 4913 6256 6647 8464 8993 9248 9826 12512 13294 16928 17986 18496 19652 25024 26588 33856 35972 39304 53176 71944 78608 106352 112999 143888 152881 157216 212704 225998 287776 305762 314432 425408 451996 575552 611524 903992 1223048 1807984 2446096 2598977 3615968 4892192 5197954 7231936 9784384 10395908 20791816 41583632 83167264 166334528