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58248740 = 22511271977
BaseRepresentation
bin1101111000110…
…0111000100100
311001121100020202
43132030320210
5104402424430
65440250032
71305051254
oct336147044
9131540222
1058248740
112a975160
1217610918
13c0b5b14
147a43964
1551a8d45
hex378ce24

58248740 has 48 divisors (see below), whose sum is σ = 134072064. Its totient is φ = 21081600.

The previous prime is 58248739. The next prime is 58248761. The reversal of 58248740 is 4784285.

58248740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58248694 and 58248703.

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 15 ways as a sum of consecutive naturals, for example, 59132 + ... + 60108.

It is an arithmetic number, because the mean of its divisors is an integer number (2793168).

Almost surely, 258248740 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 58248740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67036032).

58248740 is an abundant number, since it is smaller than the sum of its proper divisors (75823324).

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

58248740 is a wasteful number, since it uses less digits than its factorization.

58248740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 58248740 is about 7632.0862154459. The cubic root of 58248740 is about 387.6402322838.

The spelling of 58248740 in words is "fifty-eight million, two hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 977 1084 1355 1954 2710 2981 3908 4885 5420 5962 9770 10747 11924 14905 19540 21494 29810 42988 53735 59620 107470 214940 264767 529534 1059068 1323835 2647670 2912437 5295340 5824874 11649748 14562185 29124370 58248740