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517042116 = 22342369383
BaseRepresentation
bin11110110100010…
…110111111000100
31100000220110110000
4132310112333010
52024330321431
6123150001300
715545533263
oct3664267704
91300813400
10517042116
11245947438
121251a6230
13831710a6
144c9505da
15305d29e6
hex1ed16fc4

517042116 has 60 divisors (see below), whose sum is σ = 1410437952. Its totient is φ = 164851632.

The previous prime is 517042111. The next prime is 517042121. The reversal of 517042116 is 611240715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (517042111) and next prime (517042121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 517042116.

It is not an unprimeable number, because it can be changed into a prime (517042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27240 + ... + 42143.

Almost surely, 2517042116 is an apocalyptic number.

It is an amenable number.

517042116 is an abundant number, since it is smaller than the sum of its proper divisors (893395836).

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

517042116 is a wasteful number, since it uses less digits than its factorization.

517042116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69422 (or 69411 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 517042116 is about 22738.5601127248. The cubic root of 517042116 is about 802.6175284240.

The spelling of 517042116 in words is "five hundred seventeen million, forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 69383 138766 208149 277532 416298 624447 832596 1248894 1595809 1873341 2497788 3191618 3746682 4787427 5620023 6383236 7493364 9574854 11240046 14362281 19149708 22480092 28724562 43086843 57449124 86173686 129260529 172347372 258521058 517042116