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58713312 = 2537412131
BaseRepresentation
bin1101111111111…
…0010011100000
311002110221112010
43133332103200
5110012311222
65454232520
71312024560
oct337762340
9132427463
1058713312
11301621a9
12177b5740
13c219408
147b24da0
15524b80c
hex37fe4e0

58713312 has 96 divisors (see below), whose sum is σ = 180520704. Its totient is φ = 16358400.

The previous prime is 58713311. The next prime is 58713329. The reversal of 58713312 is 21331785.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 58713312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58713311) 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, 26487 + ... + 28617.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 258713312 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 58713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90260352).

58713312 is an abundant number, since it is smaller than the sum of its proper divisors (121807392).

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

58713312 is a wasteful number, since it uses less digits than its factorization.

58713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2184 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 58713312 is about 7662.4612233929. The cubic root of 58713312 is about 388.6680664650.

The spelling of 58713312 in words is "fifty-eight million, seven hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2131 2296 3444 3936 4262 4592 6393 6888 8524 9184 12786 13776 14917 17048 25572 27552 29834 34096 44751 51144 59668 68192 87371 89502 102288 119336 174742 179004 204576 238672 262113 349484 358008 477344 524226 611597 698968 716016 1048452 1223194 1397936 1432032 1834791 2096904 2446388 2795872 3669582 4193808 4892776 7339164 8387616 9785552 14678328 19571104 29356656 58713312