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53116245 = 325721317109
BaseRepresentation
bin1100101010011…
…1110101010101
310200221120210100
43022213311111
5102044204440
65134244313
71213323600
oct312476525
9120846710
1053116245
1127a8a026
1215956699
13b009940
1470a9337
1549e3230
hex32a7d55

53116245 has 144 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 20901888.

The previous prime is 53116243. The next prime is 53116247. The reversal of 53116245 is 54261135.

53116245 is a `hidden beast` number, since 5 + 31 + 1 + 624 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (53116243) and next prime (53116247).

It can be written as a sum of positive squares in 8 ways, for example, as 15876 + 53100369 = 126^2 + 7287^2 .

It is not a de Polignac number, because 53116245 - 21 = 53116243 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53116241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 487251 + ... + 487359.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 253116245 is an apocalyptic number.

It is an amenable number.

53116245 is an abundant number, since it is smaller than the sum of its proper divisors (70126875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53116245 is a wasteful number, since it uses less digits than its factorization.

53116245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53116245 is about 7288.0892557652. The cubic root of 53116245 is about 375.9029971776.

It can be divided in two parts, 53116 and 245, that added together give a square (53361 = 2312).

The spelling of 53116245 in words is "fifty-three million, one hundred sixteen thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 13 15 17 21 35 39 45 49 51 63 65 85 91 105 109 117 119 147 153 195 221 245 255 273 315 327 357 441 455 545 585 595 637 663 735 763 765 819 833 981 1071 1105 1365 1417 1547 1635 1785 1853 1911 1989 2205 2289 2499 3185 3315 3815 4095 4165 4251 4641 4905 5341 5355 5559 5733 6867 7085 7497 7735 9265 9555 9919 9945 10829 11445 12495 12753 12971 13923 16023 16677 21255 23205 24089 26705 27795 28665 29757 32487 34335 37485 38913 48069 49595 54145 63765 64855 69433 69615 72267 80115 83385 89271 90797 97461 116739 120445 148785 162435 168623 194565 208299 216801 240345 272391 347165 361335 446355 453985 487305 505869 583695 624897 817173 843115 1041495 1084005 1180361 1361955 1517607 2529345 3124485 3541083 4085865 5901805 7588035 10623249 17705415 53116245