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537706416 = 243133372557
BaseRepresentation
bin100000000011001…
…011111110110000
31101110210022112110
4200003023332300
52100123101131
6125204525320
716216300122
oct4003137660
91343708473
10537706416
11256580875
121300b0840
13875279a0
14515ad212
1532315646
hex200cbfb0

537706416 has 80 divisors (see below), whose sum is σ = 1500952544. Its totient is φ = 164892672.

The previous prime is 537706391. The next prime is 537706417. The reversal of 537706416 is 614607735.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (537706417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 209010 + ... + 211566.

Almost surely, 2537706416 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 537706416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750476272).

537706416 is an abundant number, since it is smaller than the sum of its proper divisors (963246128).

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

537706416 is a wasteful number, since it uses less digits than its factorization.

537706416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 537706416 is about 23188.4974933694. The cubic root of 537706416 is about 813.1707331199.

The spelling of 537706416 in words is "five hundred thirty-seven million, seven hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 337 624 674 1011 1348 2022 2557 2696 4044 4381 5114 5392 7671 8088 8762 10228 13143 15342 16176 17524 20456 26286 30684 33241 35048 40912 52572 61368 66482 70096 99723 105144 122736 132964 199446 210288 265928 398892 531856 797784 861709 1595568 1723418 2585127 3446836 5170254 6893672 10340508 11202217 13787344 20681016 22404434 33606651 41362032 44808868 67213302 89617736 134426604 179235472 268853208 537706416