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517890006 = 232171918861
BaseRepresentation
bin11110110111100…
…101111111010110
31100002111112112100
4132313211333112
52030034440011
6123220102530
715555664254
oct3667457726
91302445470
10517890006
11246376477
12125534a46
13833a9cba
144cad15d4
15306edd56
hex1ede5fd6

517890006 has 48 divisors (see below), whose sum is σ = 1194455808. Its totient is φ = 161606400.

The previous prime is 517889993. The next prime is 517890053. The reversal of 517890006 is 600098715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54016 + ... + 62876.

It is an arithmetic number, because the mean of its divisors is an integer number (24884496).

Almost surely, 2517890006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517890006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597227904).

517890006 is an abundant number, since it is smaller than the sum of its proper divisors (676565802).

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

517890006 is a wasteful number, since it uses less digits than its factorization.

517890006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 517890006 is about 22757.1967957391. The cubic root of 517890006 is about 803.0560225013.

The spelling of 517890006 in words is "five hundred seventeen million, eight hundred ninety thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 573 1146 1719 3247 3438 6494 8861 9741 17722 19482 26583 29223 53166 58446 79749 150637 159498 301274 451911 903822 1355733 1692451 2711466 3384902 5077353 10154706 15232059 28771667 30464118 57543334 86315001 172630002 258945003 517890006