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428666193 = 32414012897
BaseRepresentation
bin11001100011001…
…110110101010001
31002212121111110200
4121203032311101
51334214304233
6110311445413
713423413444
oct3143166521
91085544420
10428666193
111aaa7528a
12bb686869
136aa6a447
1440d0765b
1527977313
hex198ced51

428666193 has 24 divisors (see below), whose sum is σ = 636087816. Its totient is φ = 278016000.

The previous prime is 428666143. The next prime is 428666207. The reversal of 428666193 is 391666824.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 405941904 = 4767^2 + 20148^2 .

It is a de Polignac number, because none of the positive numbers 2k-428666193 is a prime.

It is a super-2 number, since 2×4286661932 = 367509410042226498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428666113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146521 + ... + 149417.

It is an arithmetic number, because the mean of its divisors is an integer number (26503659).

Almost surely, 2428666193 is an apocalyptic number.

It is an amenable number.

428666193 is a deficient number, since it is larger than the sum of its proper divisors (207421623).

428666193 is a wasteful number, since it uses less digits than its factorization.

428666193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3342 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 428666193 is about 20704.2554321569. The cubic root of 428666193 is about 754.0030072326.

The spelling of 428666193 in words is "four hundred twenty-eight million, six hundred sixty-six thousand, one hundred ninety-three".

Divisors: 1 3 9 41 123 369 401 1203 2897 3609 8691 16441 26073 49323 118777 147969 356331 1068993 1161697 3485091 10455273 47629577 142888731 428666193