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58050630 = 232511191307
BaseRepresentation
bin1101110101110…
…0100001000110
311001020021111100
43131130201012
5104330110010
65432120530
71303264551
oct335344106
9131207440
1058050630
112a84a330
1217536146
13c0468b1
1479d1698
15516a2c0
hex375c846

58050630 has 96 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 13953600.

The previous prime is 58050623. The next prime is 58050637. The reversal of 58050630 is 3605085.

58050630 is a `hidden beast` number, since 580 + 50 + 6 + 30 = 666.

58050630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58050623) and next prime (58050637).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58050594 and 58050603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58050637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188937 + ... + 189243.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 258050630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58050630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

58050630 is an abundant number, since it is smaller than the sum of its proper divisors (108003258).

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

58050630 is a wasteful number, since it uses less digits than its factorization.

58050630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

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

The square root of 58050630 is about 7619.0964031176. The cubic root of 58050630 is about 387.2002649165.

The spelling of 58050630 in words is "fifty-eight million, fifty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 191 198 307 330 382 495 573 614 921 955 990 1146 1535 1719 1842 1910 2101 2763 2865 3070 3377 3438 4202 4605 5526 5730 6303 6754 8595 9210 10131 10505 12606 13815 16885 17190 18909 20262 21010 27630 30393 31515 33770 37818 50655 58637 60786 63030 94545 101310 117274 151965 175911 189090 293185 303930 351822 527733 586370 645007 879555 1055466 1290014 1759110 1935021 2638665 3225035 3870042 5277330 5805063 6450070 9675105 11610126 19350210 29025315 58050630