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58263080 = 23517471823
BaseRepresentation
bin1101111001000…
…0011000101000
311001122001220212
43132100120220
5104403404310
65440440252
71305141131
oct336203050
9131561825
1058263080
112a984a07
1217619088
13c0bc4c5
147a48c88
1551ad205
hex3790628

58263080 has 64 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 21455872.

The previous prime is 58263061. The next prime is 58263089. The reversal of 58263080 is 8036285.

It is a super-3 number, since 3×582630803 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (58263089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31049 + ... + 32871.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 258263080 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 58263080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120).

58263080 is an abundant number, since it is smaller than the sum of its proper divisors (83571160).

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

58263080 is a wasteful number, since it uses less digits than its factorization.

58263080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 58263080 is about 7633.0256124292. The cubic root of 58263080 is about 387.6720401525.

The spelling of 58263080 in words is "fifty-eight million, two hundred sixty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1823 1880 3196 3646 3995 6392 7292 7990 9115 14584 15980 18230 30991 31960 36460 61982 72920 85681 123964 154955 171362 247928 309910 342724 428405 619820 685448 856810 1239640 1456577 1713620 2913154 3427240 5826308 7282885 11652616 14565770 29131540 58263080