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58013328 = 2436012011
BaseRepresentation
bin1101110101001…
…1011010010000
311001011101022210
43131103122100
5104322411303
65431232120
71303051032
oct335233220
9131141283
1058013328
112a8242aa
1217518640
13c032919
1479c1c52
15515e203
hex3753690

58013328 has 40 divisors (see below), whose sum is σ = 150191776. Its totient is φ = 19296000.

The previous prime is 58013317. The next prime is 58013341. The reversal of 58013328 is 82331085.

It is a happy number.

58013328 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 = 58013295 and 58013304.

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 7 ways as a sum of consecutive naturals, for example, 27843 + ... + 29853.

Almost surely, 258013328 is an apocalyptic number.

It is an amenable number.

58013328 is an abundant number, since it is smaller than the sum of its proper divisors (92178448).

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

58013328 is a wasteful number, since it uses less digits than its factorization.

58013328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58013328 is about 7616.6480816695. The cubic root of 58013328 is about 387.1173118172.

The spelling of 58013328 in words is "fifty-eight million, thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 601 1202 1803 2011 2404 3606 4022 4808 6033 7212 8044 9616 12066 14424 16088 24132 28848 32176 48264 96528 1208611 2417222 3625833 4834444 7251666 9668888 14503332 19337776 29006664 58013328