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14628033 = 34725799
BaseRepresentation
bin110111110011…
…010011000001
31000112011220000
4313303103001
512221044113
61241310213
7235223220
oct67632301
930464800
1014628033
118291292
124a95369
133052254
141d2acb7
15143e373
hexdf34c1

14628033 has 20 divisors (see below), whose sum is σ = 24974400. Its totient is φ = 8358552.

The previous prime is 14628011. The next prime is 14628037. The reversal of 14628033 is 33082641.

It is a happy number.

14628033 is a `hidden beast` number, since 1 + 4 + 628 + 0 + 33 = 666.

It is not a de Polignac number, because 14628033 - 213 = 14619841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14627988 and 14628006.

It is not an unprimeable number, because it can be changed into a prime (14628037) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12333 + ... + 13466.

It is an arithmetic number, because the mean of its divisors is an integer number (1248720).

Almost surely, 214628033 is an apocalyptic number.

It is an amenable number.

14628033 is a deficient number, since it is larger than the sum of its proper divisors (10346367).

14628033 is an equidigital number, since it uses as much as digits as its factorization.

14628033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25818 (or 25809 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14628033 is about 3824.6611614625. The cubic root of 14628033 is about 244.5655663670.

The spelling of 14628033 in words is "fourteen million, six hundred twenty-eight thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 25799 77397 180593 232191 541779 696573 1625337 2089719 4876011 14628033