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166289472 = 2632288697
BaseRepresentation
bin10011110100101…
…10000001000000
3102120220101021100
421322112001000
5320032230342
624300054400
74056302646
oct1172260100
9376811240
10166289472
1185958818
1247834400
13285b344b
1418129196
15e8eae4c
hex9e96040

166289472 has 42 divisors (see below), whose sum is σ = 476640398. Its totient is φ = 55429632.

The previous prime is 166289467. The next prime is 166289489. The reversal of 166289472 is 274982661.

It is a happy number.

166289472 is a `hidden beast` number, since 16 + 628 + 9 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122412096 + 43877376 = 11064^2 + 6624^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143773 + ... + 144924.

Almost surely, 2166289472 is an apocalyptic number.

166289472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166289472 is an abundant number, since it is smaller than the sum of its proper divisors (310350926).

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

166289472 is a wasteful number, since it uses less digits than its factorization.

166289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288715 (or 288702 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 166289472 is about 12895.3275258909. The cubic root of 166289472 is about 549.9057381158.

The spelling of 166289472 in words is "one hundred sixty-six million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 288697 577394 866091 1154788 1732182 2309576 2598273 3464364 4619152 5196546 6928728 9238304 10393092 13857456 18476608 20786184 27714912 41572368 55429824 83144736 166289472