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647272093 = 13175373757
BaseRepresentation
bin100110100101001…
…001011010011101
31200002221211101111
4212211021122131
52311200201333
6144121142021
722016502436
oct4645113235
91602854344
10647272093
11302406116
1216092a911
13a413a450
1461d7048d
153bc594cd
hex2694969d

647272093 has 32 divisors (see below), whose sum is σ = 763299936. Its totient is φ = 543449088.

The previous prime is 647272079. The next prime is 647272103. The reversal of 647272093 is 390272746.

647272093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 34363044 + 612909049 = 5862^2 + 24757^2 .

It is not a de Polignac number, because 647272093 - 217 = 647141021 is a prime.

It is a super-2 number, since 2×6472720932 = 837922324753201298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647272993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854671 + ... + 855427.

It is an arithmetic number, because the mean of its divisors is an integer number (23853123).

Almost surely, 2647272093 is an apocalyptic number.

It is an amenable number.

647272093 is a deficient number, since it is larger than the sum of its proper divisors (116027843).

647272093 is a wasteful number, since it uses less digits than its factorization.

647272093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 647272093 is about 25441.5426615604. The cubic root of 647272093 is about 865.0256011668.

The spelling of 647272093 in words is "six hundred forty-seven million, two hundred seventy-two thousand, ninety-three".

Divisors: 1 13 17 53 73 221 689 757 901 949 1241 3869 9841 11713 12869 16133 40121 50297 55261 65773 167297 521573 682057 718393 855049 939437 2928833 8866741 12212681 38074829 49790161 647272093