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616379929 = 112372612
BaseRepresentation
bin100100101111010…
…011011000011001
31120221211100022021
4210233103120121
52230243124204
6141055054441
721163100014
oct4457233031
91527740267
10616379929
11296a26400
12152511421
139a912369
145bc0c37b
15391a6154
hex24bd3619

616379929 has 27 divisors (see below), whose sum is σ = 707916573. Its totient is φ = 536263200.

The previous prime is 616379879. The next prime is 616379977. The reversal of 616379929 is 929973616.

The square root of 616379929 is 24827.

It is a perfect power (a square), and thus also a powerful number.

616379929 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 4 ways, for example, as 13579225 + 602800704 = 3685^2 + 24552^2 .

It is not a de Polignac number, because 616379929 - 27 = 616379801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616379989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10104559 + ... + 10104619.

Almost surely, 2616379929 is an apocalyptic number.

616379929 is the 24827-th square number.

616379929 is the 12414-th centered octagonal number.

It is an amenable number.

616379929 is a deficient number, since it is larger than the sum of its proper divisors (91536644).

616379929 is an equidigital number, since it uses as much as digits as its factorization.

616379929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 52.

The cubic root of 616379929 is about 851.0390656295.

The spelling of 616379929 in words is "six hundred sixteen million, three hundred seventy-nine thousand, nine hundred twenty-nine".

Divisors: 1 11 37 61 121 407 671 1369 2257 3721 4477 7381 15059 24827 40931 83509 137677 165649 273097 450241 918599 1514447 5094049 10104589 16658917 56034539 616379929