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14768801 = 172921033
BaseRepresentation
bin111000010101…
…101010100001
31000210022222122
4320111222201
512240100201
61244314025
7236350505
oct70255241
930708878
1014768801
118378023
124b42915
1330a1348
141d66305
15146ae1b
hexe15aa1

14768801 has 12 divisors (see below), whose sum is σ = 16211052. Its totient is φ = 13407744.

The previous prime is 14768791. The next prime is 14768827. The reversal of 14768801 is 10886741.

It can be written as a sum of positive squares in 6 ways, for example, as 3045025 + 11723776 = 1745^2 + 3424^2 .

It is a de Polignac number, because none of the positive numbers 2k-14768801 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768851) 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 11 ways as a sum of consecutive naturals, for example, 13781 + ... + 14813.

It is an arithmetic number, because the mean of its divisors is an integer number (1350921).

Almost surely, 214768801 is an apocalyptic number.

It is an amenable number.

14768801 is a deficient number, since it is larger than the sum of its proper divisors (1442251).

14768801 is a wasteful number, since it uses less digits than its factorization.

14768801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 14768801 is about 3843.0197761656. The cubic root of 14768801 is about 245.3475616863.

The spelling of 14768801 in words is "fourteen million, seven hundred sixty-eight thousand, eight hundred one".

Divisors: 1 17 29 493 841 1033 14297 17561 29957 509269 868753 14768801