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538700316 = 2237211372251
BaseRepresentation
bin100000000110111…
…110101000011100
31101112122210220120
4200012332220130
52100401402231
6125242114540
716230606600
oct4006765034
91345583816
10538700316
1125709a580
121304aba50
13877b51ab
145178b500
153245ed96
hex201bea1c

538700316 has 144 divisors (see below), whose sum is σ = 1638951552. Its totient is φ = 136080000.

The previous prime is 538700291. The next prime is 538700347. The reversal of 538700316 is 613007835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238191 + ... + 240441.

It is an arithmetic number, because the mean of its divisors is an integer number (11381608).

Almost surely, 2538700316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538700316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819475776).

538700316 is an abundant number, since it is smaller than the sum of its proper divisors (1100251236).

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

538700316 is a wasteful number, since it uses less digits than its factorization.

538700316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 538700316 is about 23209.9184832692. The cubic root of 538700316 is about 813.6714480772.

The spelling of 538700316 in words is "five hundred thirty-eight million, seven hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 49 66 74 77 84 98 111 132 147 148 154 196 222 231 259 294 308 407 444 462 518 539 588 777 814 924 1036 1078 1221 1554 1617 1628 1813 2156 2251 2442 2849 3108 3234 3626 4502 4884 5439 5698 6468 6753 7252 8547 9004 10878 11396 13506 15757 17094 19943 21756 24761 27012 31514 34188 39886 47271 49522 59829 63028 74283 79772 83287 94542 99044 110299 119658 148566 166574 173327 189084 220598 239316 249861 297132 330897 333148 346654 441196 499722 519981 583009 661794 693308 916157 999444 1039962 1166018 1213289 1323588 1749027 1832314 2079924 2332036 2426578 2748471 3498054 3639867 3664628 4081063 4853156 5496942 6413099 6996108 7279734 8162126 10993884 12243189 12826198 14559468 16324252 19239297 24486378 25652396 38478594 44891693 48972756 76957188 89783386 134675079 179566772 269350158 538700316