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58253130 = 23251349789
BaseRepresentation
bin1101111000110…
…1111101001010
311001121120021100
43132031331022
5104403100010
65440322230
71305100125
oct336157512
9131546240
1058253130
112a978491
1217613376
13c0b7b10
147a453bc
1551aa2c0
hex378df4a

58253130 has 48 divisors (see below), whose sum is σ = 163112040. Its totient is φ = 14338944.

The previous prime is 58253077. The next prime is 58253131. The reversal of 58253130 is 3135285.

58253130 is a `hidden beast` number, since 582 + 53 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27217089 + 31036041 = 5217^2 + 5571^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58253094 and 58253103.

It is not an unprimeable number, because it can be changed into a prime (58253131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23725 + ... + 26064.

Almost surely, 258253130 is an apocalyptic number.

58253130 is an abundant number, since it is smaller than the sum of its proper divisors (104858910).

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

58253130 is a wasteful number, since it uses less digits than its factorization.

58253130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49815 (or 49812 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 58253130 is about 7632.3738116002. The cubic root of 58253130 is about 387.6499703935.

The spelling of 58253130 in words is "fifty-eight million, two hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 49789 99578 149367 248945 298734 448101 497890 647257 746835 896202 1294514 1493670 1941771 2240505 3236285 3883542 4481010 5825313 6472570 9708855 11650626 19417710 29126565 58253130