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166405152 = 25310316829
BaseRepresentation
bin10011110101100…
…10010000100000
3102121010020221210
421322302100200
5320044431102
624302350120
74060264134
oct1172622040
9377106853
10166405152
1185a27721
124788b340
1328623cb4
14181593c4
15e92036c
hex9eb2420

166405152 has 48 divisors (see below), whose sum is σ = 441080640. Its totient is φ = 54926592.

The previous prime is 166405147. The next prime is 166405159. The reversal of 166405152 is 251504661.

166405152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1664051522 = 55381349224286208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166405159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474 + ... + 18302.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2166405152 is an apocalyptic number.

166405152 is a gapful number since it is divisible by the number (12) 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 166405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

166405152 is an abundant number, since it is smaller than the sum of its proper divisors (274675488).

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

166405152 is a wasteful number, since it uses less digits than its factorization.

166405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16945 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 166405152 is about 12899.8120916547. The cubic root of 166405152 is about 550.0332233374.

The spelling of 166405152 in words is "one hundred sixty-six million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 16829 33658 50487 67316 100974 134632 201948 269264 403896 538528 807792 1615584 1733387 3466774 5200161 6933548 10400322 13867096 20800644 27734192 41601288 55468384 83202576 166405152