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53117617 = 7210110733
BaseRepresentation
bin1100101010100…
…0001010110001
310200221122200011
43022220022301
5102044230432
65134254521
71213330600
oct312501261
9120848604
1053117617
1127a90063
1215957441
13b00a457
1470a9a37
1549e3847
hex32a82b1

53117617 has 12 divisors (see below), whose sum is σ = 62407476. Its totient is φ = 45074400.

The previous prime is 53117611. The next prime is 53117621. The reversal of 53117617 is 71671135.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 24216241 = 5376^2 + 4921^2 .

It is not a de Polignac number, because 53117617 - 23 = 53117609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53117611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 10315.

It is an arithmetic number, because the mean of its divisors is an integer number (5200623).

Almost surely, 253117617 is an apocalyptic number.

It is an amenable number.

53117617 is a deficient number, since it is larger than the sum of its proper divisors (9289859).

53117617 is a wasteful number, since it uses less digits than its factorization.

53117617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10841 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 53117617 is about 7288.1833813372. The cubic root of 53117617 is about 375.9062336920.

The spelling of 53117617 in words is "fifty-three million, one hundred seventeen thousand, six hundred seventeen".

Divisors: 1 7 49 101 707 4949 10733 75131 525917 1084033 7588231 53117617