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537000816 = 243113592833
BaseRepresentation
bin100000000000011…
…111101101110000
31101102110110122010
4200000133231300
52044433011231
6125141442520
716210301022
oct4000375560
91342413563
10537000816
11256139730
1212ba10440
138733b781
1451468012
1532226546
hex2001fb70

537000816 has 80 divisors (see below), whose sum is σ = 1518117120. Its totient is φ = 162216960.

The previous prime is 537000809. The next prime is 537000839. The reversal of 537000816 is 618000735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188136 + ... + 190968.

It is an arithmetic number, because the mean of its divisors is an integer number (18976464).

Almost surely, 2537000816 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 537000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759058560).

537000816 is an abundant number, since it is smaller than the sum of its proper divisors (981116304).

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

537000816 is a wasteful number, since it uses less digits than its factorization.

537000816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 537000816 is about 23173.2780590058. The cubic root of 537000816 is about 812.8148856342.

The spelling of 537000816 in words is "five hundred thirty-seven million, eight hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 359 528 718 1077 1436 2154 2833 2872 3949 4308 5666 5744 7898 8499 8616 11332 11847 15796 16998 17232 22664 23694 31163 31592 33996 45328 47388 62326 63184 67992 93489 94776 124652 135984 186978 189552 249304 373956 498608 747912 1017047 1495824 2034094 3051141 4068188 6102282 8136376 11187517 12204564 16272752 22375034 24409128 33562551 44750068 48818256 67125102 89500136 134250204 179000272 268500408 537000816