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58684132 = 221323139353
BaseRepresentation
bin1101111111011…
…1001011100100
311002102110111101
43133313023210
5110010343012
65453445444
71311543523
oct337671344
9132373441
1058684132
1130142291
12177a0884
13c209050
147b184ba
155242d57
hex37f72e4

58684132 has 48 divisors (see below), whose sum is σ = 116565120. Its totient is φ = 25648128.

The previous prime is 58684099. The next prime is 58684181. The reversal of 58684132 is 23148685.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58684091 and 58684100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166068 + ... + 166420.

It is an arithmetic number, because the mean of its divisors is an integer number (2428440).

Almost surely, 258684132 is an apocalyptic number.

58684132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58684132 is a deficient number, since it is larger than the sum of its proper divisors (57880988).

58684132 is a wasteful number, since it uses less digits than its factorization.

58684132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 58684132 is about 7660.5568988162. The cubic root of 58684132 is about 388.6036675910.

It can be divided in two parts, 5868 and 4132, that added together give a 4-th power (10000 = 104).

The spelling of 58684132 in words is "fifty-eight million, six hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 13 23 26 46 52 92 139 278 299 353 556 598 706 1196 1412 1807 3197 3614 4589 6394 7228 8119 9178 12788 16238 18356 32476 41561 49067 83122 98134 105547 166244 196268 211094 422188 637871 1128541 1275742 2257082 2551484 4514164 14671033 29342066 58684132