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517382840 = 235133726891
BaseRepresentation
bin11110110101101…
…010001010111000
31100001112202211102
4132311222022320
52024422222330
6123201150532
715551452532
oct3665521270
91301482742
10517382840
1124605a427
1212532b448
13832601c0
144c9dc852
153064d945
hex1ed6a2b8

517382840 has 64 divisors (see below), whose sum is σ = 1287588960. Its totient is φ = 185863680.

The previous prime is 517382821. The next prime is 517382843. The reversal of 517382840 is 48283715.

It is a junction number, because it is equal to n+sod(n) for n = 517382794 and 517382803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517382843) 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, 5795 + ... + 32685.

Almost surely, 2517382840 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 517382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643794480).

517382840 is an abundant number, since it is smaller than the sum of its proper divisors (770206120).

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

517382840 is a wasteful number, since it uses less digits than its factorization.

517382840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26948 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 517382840 is about 22746.0510858478. The cubic root of 517382840 is about 802.7937945327.

The spelling of 517382840 in words is "five hundred seventeen million, three hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 26891 53782 107564 134455 215128 268910 349583 537820 699166 994967 1075640 1398332 1747915 1989934 2796664 3495830 3979868 4974835 6991660 7959736 9949670 12934571 13983320 19899340 25869142 39798680 51738284 64672855 103476568 129345710 258691420 517382840