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517386040 = 235731671061
BaseRepresentation
bin11110110101101…
…010111100111000
31100001112221012221
4132311222330320
52024422323130
6123201213424
715551465053
oct3665527470
91301487187
10517386040
11246061876
12125331274
13832617b2
144c9dda9a
153064e87a
hex1ed6af38

517386040 has 64 divisors (see below), whose sum is σ = 1188250560. Its totient is φ = 202705920.

The previous prime is 517386029. The next prime is 517386047. The reversal of 517386040 is 40683715.

It is a junction number, because it is equal to n+sod(n) for n = 517385987 and 517386005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517386047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487110 + ... + 488170.

It is an arithmetic number, because the mean of its divisors is an integer number (18566415).

Almost surely, 2517386040 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 517386040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594125280).

517386040 is an abundant number, since it is smaller than the sum of its proper divisors (670864520).

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

517386040 is a wasteful number, since it uses less digits than its factorization.

517386040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 517386040 is about 22746.1214276193. The cubic root of 517386040 is about 802.7954496158.

The spelling of 517386040 in words is "five hundred seventeen million, three hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 167 292 334 365 584 668 730 835 1061 1336 1460 1670 2122 2920 3340 4244 5305 6680 8488 10610 12191 21220 24382 42440 48764 60955 77453 97528 121910 154906 177187 243820 309812 354374 387265 487640 619624 708748 774530 885935 1417496 1549060 1771870 3098120 3543740 7087480 12934651 25869302 51738604 64673255 103477208 129346510 258693020 517386040