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58049730 = 23351712647
BaseRepresentation
bin1101110101110…
…0010011000010
311001020020021000
43131130103002
5104330042410
65432112430
71303262124
oct335342302
9131206230
1058049730
112a849692
1217535716
13c04636b
1479d1214
155169dc0
hex375c4c2

58049730 has 64 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 14568192.

The previous prime is 58049729. The next prime is 58049743. The reversal of 58049730 is 3794085.

58049730 is a `hidden beast` number, since 580 + 4 + 9 + 73 + 0 = 666.

58049730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1734 + ... + 10913.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 258049730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58049730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

58049730 is an abundant number, since it is smaller than the sum of its proper divisors (105868350).

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

58049730 is a wasteful number, since it uses less digits than its factorization.

58049730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 58049730 is about 7619.0373407669. The cubic root of 58049730 is about 387.1982638930.

The spelling of 58049730 in words is "fifty-eight million, forty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 12647 25294 37941 63235 75882 113823 126470 189705 214999 227646 341469 379410 429998 569115 644997 682938 1074995 1138230 1289994 1707345 1934991 2149990 3224985 3414690 3869982 5804973 6449970 9674955 11609946 19349910 29024865 58049730