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537645864 = 2337113127223
BaseRepresentation
bin100000000010111…
…101001100101000
31101110200020110210
4200002331030220
52100114131424
6125203341120
716215625440
oct4002751450
91343606423
10537645864
1125653a328
121300817a0
1387506262
1451595120
1532302729
hex200bd328

537645864 has 128 divisors (see below), whose sum is σ = 1568931840. Its totient is φ = 150377472.

The previous prime is 537645851. The next prime is 537645881. The reversal of 537645864 is 468546735.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2410857 + ... + 2411079.

It is an arithmetic number, because the mean of its divisors is an integer number (12257280).

Almost surely, 2537645864 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 537645864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784465920).

537645864 is an abundant number, since it is smaller than the sum of its proper divisors (1031285976).

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

537645864 is a wasteful number, since it uses less digits than its factorization.

537645864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 537645864 is about 23187.1918092726. The cubic root of 537645864 is about 813.1402078115.

The spelling of 537645864 in words is "five hundred thirty-seven million, six hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 127 168 223 226 254 339 381 446 452 508 669 678 762 791 889 892 904 1016 1338 1356 1524 1561 1582 1778 1784 2373 2667 2676 2712 3048 3122 3164 3556 4683 4746 5334 5352 6244 6328 7112 9366 9492 10668 12488 14351 18732 18984 21336 25199 28321 28702 37464 43053 50398 56642 57404 75597 84963 86106 100457 100796 113284 114808 151194 169926 172212 176393 198247 200914 201592 226568 301371 302388 339852 344424 352786 396494 401828 529179 594741 602742 604776 679704 705572 792988 803656 1058358 1189482 1205484 1411144 1585976 2116716 2378964 2410968 3200273 4233432 4757928 6400546 9600819 12801092 19201638 22401911 25602184 38403276 44803822 67205733 76806552 89607644 134411466 179215288 268822932 537645864