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517490112 = 26314918089
BaseRepresentation
bin11110110110000…
…100010111000000
31100001202012222110
4132312010113000
52024434140422
6123203335320
715552410346
oct3666042700
91301665873
10517490112
11246122a87
12125381540
1383299c89
144ca29996
153067060c
hex1ed845c0

517490112 has 56 divisors (see below), whose sum is σ = 1378458000. Its totient is φ = 171329536.

The previous prime is 517490107. The next prime is 517490119. The reversal of 517490112 is 211094715.

It is a self number, because there is not a number n which added to its sum of digits gives 517490112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517490119) 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 7 ways as a sum of consecutive naturals, for example, 19564 + ... + 37652.

Almost surely, 2517490112 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 517490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689229000).

517490112 is an abundant number, since it is smaller than the sum of its proper divisors (860967888).

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

517490112 is a wasteful number, since it uses less digits than its factorization.

517490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 517490112 is about 22748.4089993125. The cubic root of 517490112 is about 802.8492733375.

The spelling of 517490112 in words is "five hundred seventeen million, four hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 7152 9536 14304 18089 28608 36178 54267 72356 108534 144712 217068 289424 434136 578848 868272 1157696 1736544 2695261 3473088 5390522 8085783 10781044 16171566 21562088 32343132 43124176 64686264 86248352 129372528 172496704 258745056 517490112