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729756961 = 6067120283
BaseRepresentation
bin101011011111110…
…011010100100001
31212212011111100121
4223133303110201
52443304210321
6200225120241
724040555213
oct5337632441
91785144317
10729756961
11344a2422a
12184489081
13b825a86b
146ccc25b3
15440ee441
hex2b7f3521

729756961 has 4 divisors (see below), whose sum is σ = 729883312. Its totient is φ = 729630612.

The previous prime is 729756901. The next prime is 729756971. The reversal of 729756961 is 169657927.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169657927 = 1084715641.

It is a cyclic number.

It is not a de Polignac number, because 729756961 - 29 = 729756449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 729756899 and 729756908.

It is not an unprimeable number, because it can be changed into a prime (729756901) 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 3 ways as a sum of consecutive naturals, for example, 54075 + ... + 66208.

It is an arithmetic number, because the mean of its divisors is an integer number (182470828).

Almost surely, 2729756961 is an apocalyptic number.

It is an amenable number.

729756961 is a deficient number, since it is larger than the sum of its proper divisors (126351).

729756961 is a wasteful number, since it uses less digits than its factorization.

729756961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126350.

The product of its digits is 1428840, while the sum is 52.

The square root of 729756961 is about 27014.0141593211. The cubic root of 729756961 is about 900.3113988283.

The spelling of 729756961 in words is "seven hundred twenty-nine million, seven hundred fifty-six thousand, nine hundred sixty-one".

Divisors: 1 6067 120283 729756961