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58999248 = 243271117313
BaseRepresentation
bin1110000100010…
…0000111010000
311010000110202100
43201010013100
5110100433443
65504320400
71314325320
oct341040720
9133013670
1058999248
1130338010
1217913100
13c2b95c9
147b9b280
1552a63d3
hex38441d0

58999248 has 240 divisors, whose sum is σ = 218664576. Its totient is φ = 14376960.

The previous prime is 58999243. The next prime is 58999249. The reversal of 58999248 is 84299985.

It is a super-2 number, since 2×589992482 = 6961822529131008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58999194 and 58999203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58999243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188340 + ... + 188652.

Almost surely, 258999248 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 58999248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109332288).

58999248 is an abundant number, since it is smaller than the sum of its proper divisors (159665328).

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

58999248 is a wasteful number, since it uses less digits than its factorization.

58999248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 58999248 is about 7681.0967966821. The cubic root of 58999248 is about 389.2979876067.

The spelling of 58999248 in words is "fifty-eight million, nine hundred ninety-nine thousand, two hundred forty-eight".