Search a number
-
+
517300056 = 2332721311279
BaseRepresentation
bin11110110101010…
…101111101011000
31100001101120021100
4132311111331120
52024412100211
6123155311400
715550656300
oct3665257530
91301346240
10517300056
11246003209
121252ab560
1383231610
144c9ba600
1530634156
hex1ed55f58

517300056 has 144 divisors (see below), whose sum is σ = 1755280800. Its totient is φ = 136418688.

The previous prime is 517300051. The next prime is 517300067. The reversal of 517300056 is 650003715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517300051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40225 + ... + 51503.

It is an arithmetic number, because the mean of its divisors is an integer number (12189450).

Almost surely, 2517300056 is an apocalyptic number.

517300056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517300056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877640400).

517300056 is an abundant number, since it is smaller than the sum of its proper divisors (1237980744).

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

517300056 is a wasteful number, since it uses less digits than its factorization.

517300056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 517300056 is about 22744.2312686096. The cubic root of 517300056 is about 802.7509751597.

The spelling of 517300056 in words is "five hundred seventeen million, three hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11279 11466 15288 22558 22932 33837 45116 45864 67674 78953 90232 101511 135348 146627 157906 203022 236859 270696 293254 315812 406044 439881 473718 552671 586508 631624 710577 812088 879762 947436 1026389 1105342 1173016 1319643 1421154 1658013 1759524 1894872 2052778 2210684 2639286 2842308 3079167 3316026 3519048 4105556 4421368 4974039 5278572 5684616 6158334 6632052 7184723 8211112 9237501 9948078 10557144 12316668 13264104 14369446 18475002 19896156 21554169 24633336 28738892 36950004 39792312 43108338 57477784 64662507 73900008 86216676 129325014 172433352 258650028 517300056