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58750488225 = 32521121321132
BaseRepresentation
bin110110101101110011…
…010100111010100001
312121122102102000211100
4312231303110322201
51430310111110400
642553430505013
74146614624142
oct665563247241
9177572360740
1058750488225
1122a09134400
12b477505169
13570391b900
142bb4955ac9
1517dcbd7100
hexdadcd4ea1

58750488225 has 243 divisors, whose sum is σ = 126364412811. Its totient is φ = 26061235200.

The previous prime is 58750488197. The next prime is 58750488227. The reversal of 58750488225 is 52288405785.

The square root of 58750488225 is 242385.

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

58750488225 is a `hidden beast` number, since 58 + 7 + 504 + 8 + 82 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 49867802721 + 8882685504 = 223311^2 + 94248^2 .

It is not a de Polignac number, because 58750488225 - 25 = 58750488193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58750488227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 519915769 + ... + 519915881.

Almost surely, 258750488225 is an apocalyptic number.

58750488225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58750488225 is the 242385-th square number.

58750488225 is the 121193-rd centered octagonal number.

It is an amenable number.

58750488225 is an abundant number, since it is smaller than the sum of its proper divisors (67613924586).

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

58750488225 is a wasteful number, since it uses less digits than its factorization.

58750488225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 58750488225 in words is "fifty-eight billion, seven hundred fifty million, four hundred eighty-eight thousand, two hundred twenty-five".