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4339509629 = 72136812417
BaseRepresentation
bin1000000101010011…
…11010100101111101
3102012102112221002212
410002221322211331
532341403302004
61554334430205
7212352136400
oct40251724575
912172487085
104339509629
1119275a38a4
12a11362365
13542073aa0
142d248dd37
151a5e8a96e
hex102a7a97d

4339509629 has 12 divisors (see below), whose sum is σ = 5436309564. Its totient is φ = 3433457664.

The previous prime is 4339509599. The next prime is 4339509637. The reversal of 4339509629 is 9269059334.

It can be written as a sum of positive squares in 2 ways, for example, as 1890249529 + 2449260100 = 43477^2 + 49490^2 .

It is not a de Polignac number, because 4339509629 - 28 = 4339509373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4339509679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3405572 + ... + 3406845.

It is an arithmetic number, because the mean of its divisors is an integer number (453025797).

Almost surely, 24339509629 is an apocalyptic number.

4339509629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4339509629 is a deficient number, since it is larger than the sum of its proper divisors (1096799935).

4339509629 is a wasteful number, since it uses less digits than its factorization.

4339509629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812444 (or 6812437 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 50.

The square root of 4339509629 is about 65874.9544895478. The cubic root of 4339509629 is about 1631.0986143841.

The spelling of 4339509629 in words is "four billion, three hundred thirty-nine million, five hundred nine thousand, six hundred twenty-nine".

Divisors: 1 7 13 49 91 637 6812417 47686919 88561421 333808433 619929947 4339509629