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166009296 = 2438341669
BaseRepresentation
bin10011110010100…
…01100111010000
3102120101010221110
421321101213100
5314444244141
624250053320
74054025055
oct1171214720
9376333843
10166009296
1185787272
124771a240
1328515a6b
141809502c
15e892e16
hex9e519d0

166009296 has 40 divisors (see below), whose sum is σ = 434034720. Its totient is φ = 54668416.

The previous prime is 166009279. The next prime is 166009307. The reversal of 166009296 is 692900661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16851 + ... + 24818.

It is an arithmetic number, because the mean of its divisors is an integer number (10850868).

Almost surely, 2166009296 is an apocalyptic number.

166009296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166009296 is an abundant number, since it is smaller than the sum of its proper divisors (268025424).

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

166009296 is a wasteful number, since it uses less digits than its factorization.

166009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41763 (or 41757 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 166009296 is about 12884.4594764390. The cubic root of 166009296 is about 549.5967247654.

The spelling of 166009296 in words is "one hundred sixty-six million, nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 41669 83338 125007 166676 250014 333352 500028 666704 1000056 2000112 3458527 6917054 10375581 13834108 20751162 27668216 41502324 55336432 83004648 166009296