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166625056 = 25132691489
BaseRepresentation
bin10011110111001…
…11111100100000
3102121112102121101
421323213330200
5320124000211
624311204144
74062201223
oct1173477440
9377472541
10166625056
1186067964
1247976654
13286a0110
14181b55ba
15e9655c1
hex9ee7f20

166625056 has 48 divisors (see below), whose sum is σ = 354828600. Its totient is φ = 76566528.

The previous prime is 166625051. The next prime is 166625071. The reversal of 166625056 is 650526661.

It can be written as a sum of positive squares in 4 ways, for example, as 48163600 + 118461456 = 6940^2 + 10884^2 .

It is not an unprimeable number, because it can be changed into a prime (166625051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111160 + ... + 112648.

Almost surely, 2166625056 is an apocalyptic number.

166625056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177414300).

166625056 is an abundant number, since it is smaller than the sum of its proper divisors (188203544).

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

166625056 is a wasteful number, since it uses less digits than its factorization.

166625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 166625056 is about 12908.3328125672. The cubic root of 166625056 is about 550.2754058725.

The spelling of 166625056 in words is "one hundred sixty-six million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 269 416 538 1076 1489 2152 2978 3497 4304 5956 6994 8608 11912 13988 19357 23824 27976 38714 47648 55952 77428 111904 154856 309712 400541 619424 801082 1602164 3204328 5207033 6408656 10414066 12817312 20828132 41656264 83312528 166625056