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58187052 = 22337116997
BaseRepresentation
bin1101110111110…
…1110100101100
311001111012122000
43131331310230
5104343441202
65435052300
71304403360
oct335756454
9131435560
1058187052
112a932880
12175a1090
13c093a11
147a292a0
15519591c
hex377dd2c

58187052 has 96 divisors (see below), whose sum is σ = 188106240. Its totient is φ = 15111360.

The previous prime is 58187047. The next prime is 58187053. The reversal of 58187052 is 25078185.

58187052 is a `hidden beast` number, since 581 + 8 + 70 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 58186998 and 58187016.

It is not an unprimeable number, because it can be changed into a prime (58187053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4818 + ... + 11814.

It is an arithmetic number, because the mean of its divisors is an integer number (1959440).

Almost surely, 258187052 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 58187052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94053120).

58187052 is an abundant number, since it is smaller than the sum of its proper divisors (129919188).

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

58187052 is a wasteful number, since it uses less digits than its factorization.

58187052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 58187052 is about 7628.0437859257. The cubic root of 58187052 is about 387.5033412130.

The spelling of 58187052 in words is "fifty-eight million, one hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 6997 8316 13994 20991 27988 41982 48979 62973 76967 83964 97958 125946 146937 153934 188919 195916 230901 251892 293874 307868 377838 440811 461802 538769 587748 692703 755676 881622 923604 1077538 1322433 1385406 1616307 1763244 2078109 2155076 2644866 2770812 3232614 4156218 4848921 5289732 6465228 8312436 9697842 14546763 19395684 29093526 58187052