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503536992 = 25371634597
BaseRepresentation
bin11110000000110…
…101110101100000
31022002111022220020
4132000311311200
52012401140432
6121544313440
715322664610
oct3600656540
91262438806
10503536992
11239262882
12120772880
1380422caa
144ac36a40
152e31622c
hex1e035d60

503536992 has 96 divisors (see below), whose sum is σ = 1520209152. Its totient is φ = 142953984.

The previous prime is 503536987. The next prime is 503536997. The reversal of 503536992 is 299635305.

It is an interprime number because it is at equal distance from previous prime (503536987) and next prime (503536997).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503536997) 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, 107238 + ... + 111834.

It is an arithmetic number, because the mean of its divisors is an integer number (15835512).

Almost surely, 2503536992 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 503536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760104576).

503536992 is an abundant number, since it is smaller than the sum of its proper divisors (1016672160).

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

503536992 is a wasteful number, since it uses less digits than its factorization.

503536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 42.

The square root of 503536992 is about 22439.6299434728. The cubic root of 503536992 is about 795.5676717682.

The spelling of 503536992 in words is "five hundred three million, five hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 224 326 336 489 652 672 978 1141 1304 1956 2282 2608 3423 3912 4564 4597 5216 6846 7824 9128 9194 13692 13791 15648 18256 18388 27384 27582 32179 36512 36776 54768 55164 64358 73552 96537 109536 110328 128716 147104 193074 220656 257432 386148 441312 514864 749311 772296 1029728 1498622 1544592 2247933 2997244 3089184 4495866 5245177 5994488 8991732 10490354 11988976 15735531 17983464 20980708 23977952 31471062 35966928 41961416 62942124 71933856 83922832 125884248 167845664 251768496 503536992