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517930146 = 23323218131
BaseRepresentation
bin11110110111101…
…111110010100010
31100002120120121000
4132313233302202
52030042231041
6123221012430
715556222266
oct3667576242
91302516530
10517930146
112463a3648
12125554116
13833c2356
144cb020a6
153070abb6
hex1edefca2

517930146 has 48 divisors (see below), whose sum is σ = 1203239520. Its totient is φ = 165128040.

The previous prime is 517930129. The next prime is 517930157. The reversal of 517930146 is 641039715.

It is a super-2 number, since 2×5179301462 = 536503272271162632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 517930146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19501 + ... + 37631.

It is an arithmetic number, because the mean of its divisors is an integer number (25067490).

Almost surely, 2517930146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517930146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601619760).

517930146 is an abundant number, since it is smaller than the sum of its proper divisors (685309374).

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

517930146 is a wasteful number, since it uses less digits than its factorization.

517930146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18188 (or 18159 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 517930146 is about 22758.0786974648. The cubic root of 517930146 is about 803.0767694010.

The spelling of 517930146 in words is "five hundred seventeen million, nine hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 14283 18131 28566 36262 54393 108786 163179 326358 417013 489537 834026 979074 1251039 2502078 3753117 7506234 9591299 11259351 19182598 22518702 28773897 57547794 86321691 172643382 258965073 517930146