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166032425 = 52131732953
BaseRepresentation
bin10011110010101…
…11010000101001
3102120102022200002
421321113100221
5320001014200
624250352345
74054152356
oct1171272051
9376368602
10166032425
11857a2689
124772b6b5
1328523450
141809d62d
15e899bd5
hex9e57429

166032425 has 24 divisors (see below), whose sum is σ = 223074264. Its totient is φ = 121858560.

The previous prime is 166032407. The next prime is 166032439. The reversal of 166032425 is 524230661.

166032425 is digitally balanced in base 2, 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 12 ways, for example, as 16410601 + 149621824 = 4051^2 + 12232^2 .

It is not a de Polignac number, because 166032425 - 214 = 166016041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54749 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (9294761).

Almost surely, 2166032425 is an apocalyptic number.

It is an amenable number.

166032425 is a deficient number, since it is larger than the sum of its proper divisors (57041839).

166032425 is a wasteful number, since it uses less digits than its factorization.

166032425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 166032425 is about 12885.3569993229. The cubic root of 166032425 is about 549.6222474974.

It can be divided in two parts, 1660 and 32425, that multiplied together give a triangular number (53825500 = T10375).

The spelling of 166032425 in words is "one hundred sixty-six million, thirty-two thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 173 325 865 2249 2953 4325 11245 14765 38389 56225 73825 191945 510869 959725 2554345 6641297 12771725 33206485 166032425