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58247409025 = 52132472792
BaseRepresentation
bin110110001111110100…
…001110110110000001
312120100100202221220101
4312033310032312001
51423242314042100
642431500042401
74131265544011
oct661764166601
9176310687811
1058247409025
1122780164573
12b356b33401
135653629100
142b67bdbc41
1517ad96186a
hexd8fd0ed81

58247409025 has 81 divisors (see below), whose sum is σ = 80933837481. Its totient is φ = 41565401280.

The previous prime is 58247409023. The next prime is 58247409029. The reversal of 58247409025 is 52090474285.

The square root of 58247409025 is 241345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15013355841 + 43234053184 = 122529^2 + 207928^2 .

It is not a de Polignac number, because 58247409025 - 21 = 58247409023 is a prime.

It is a super-3 number, since 3×582474090253 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58247409023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 737308936 + ... + 737309014.

Almost surely, 258247409025 is an apocalyptic number.

58247409025 is the 241345-th square number.

58247409025 is the 120673-rd centered octagonal number.

It is an amenable number.

58247409025 is a deficient number, since it is larger than the sum of its proper divisors (22686428456).

58247409025 is an equidigital number, since it uses as much as digits as its factorization.

58247409025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 58247409025 in words is "fifty-eight billion, two hundred forty-seven million, four hundred nine thousand, twenty-five".

Divisors: 1 5 13 25 47 65 79 169 235 325 395 611 845 1027 1175 1975 2209 3055 3713 4225 5135 6241 7943 11045 13351 15275 18565 25675 28717 31205 39715 48269 55225 66755 81133 92825 143585 156025 174511 198575 241345 293327 333775 373321 405665 627497 717925 872555 1054729 1206725 1466635 1866605 2028325 2268643 3137485 3813251 4362775 5273645 7333175 9333025 11343215 13786369 15687425 19066255 26368225 29492359 49572263 56716075 68931845 95331275 147461795 179222797 247861315 344659225 737308975 896113985 1239306575 2329896361 4480569925 11649481805 58247409025