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616976253 = 32293233969
BaseRepresentation
bin100100110001100…
…100111101111101
31120222221122022100
4210301210331331
52230421220003
6141115535313
721201132405
oct4461447575
91528848270
10616976253
112972a3433
1215275a539
139aa9090a
145bd25805
1539272ba3
hex24c64f7d

616976253 has 12 divisors (see below), whose sum is σ = 894233340. Its totient is φ = 409911936.

The previous prime is 616976209. The next prime is 616976281. The reversal of 616976253 is 352679616.

616976253 is a `hidden beast` number, since 6 + 16 + 9 + 7 + 625 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 518609529 + 98366724 = 22773^2 + 9918^2 .

It is not a de Polignac number, because 616976253 - 212 = 616972157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 616976199 and 616976208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616976203) 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, 114348 + ... + 119621.

It is an arithmetic number, because the mean of its divisors is an integer number (74519445).

Almost surely, 2616976253 is an apocalyptic number.

It is an amenable number.

616976253 is a deficient number, since it is larger than the sum of its proper divisors (277257087).

616976253 is a wasteful number, since it uses less digits than its factorization.

616976253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234268 (or 234265 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 616976253 is about 24839.0066830379. The cubic root of 616976253 is about 851.3134264163.

The spelling of 616976253 in words is "six hundred sixteen million, nine hundred seventy-six thousand, two hundred fifty-three".

Divisors: 1 3 9 293 879 2637 233969 701907 2105721 68552917 205658751 616976253