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558868540 = 225174147853
BaseRepresentation
bin100001010011111…
…010100000111100
31102221121110111211
4201103322200330
52121032243130
6131242254204
716564206226
oct4123724074
91387543454
10558868540
1126751522a
121371b7364
138ba27059
145431b416
15340e5a2a
hex214fa83c

558868540 has 96 divisors (see below), whose sum is σ = 1301577984. Its totient is φ = 200663040.

The previous prime is 558868529. The next prime is 558868547. The reversal of 558868540 is 45868855.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558868547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654754 + ... + 655606.

It is an arithmetic number, because the mean of its divisors is an integer number (13558104).

Almost surely, 2558868540 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 558868540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650788992).

558868540 is an abundant number, since it is smaller than the sum of its proper divisors (742709444).

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

558868540 is a wasteful number, since it uses less digits than its factorization.

558868540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 49.

The square root of 558868540 is about 23640.4005888225. The cubic root of 558868540 is about 823.7015583525.

The spelling of 558868540 in words is "five hundred fifty-eight million, eight hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 47 68 82 85 94 164 170 188 205 235 340 410 470 697 799 820 853 940 1394 1598 1706 1927 2788 3196 3412 3485 3854 3995 4265 6970 7708 7990 8530 9635 13940 14501 15980 17060 19270 29002 32759 34973 38540 40091 58004 65518 69946 72505 80182 131036 139892 145010 160364 163795 174865 200455 290020 327590 349730 400910 594541 655180 681547 699460 801820 1189082 1363094 1643731 2378164 2726188 2972705 3287462 3407735 5945410 6574924 6815470 8218655 11890820 13630940 16437310 27943427 32874620 55886854 111773708 139717135 279434270 558868540