Search a number
-
+
58405640 = 2359715053
BaseRepresentation
bin1101111011001…
…1001100001000
311001220022110212
43132303030020
5104422440030
65443500252
71306303556
oct336631410
9131808425
1058405640
112aa72027
1217687688
13c13c367
147a84bd6
1551da595
hex37b3308

58405640 has 32 divisors (see below), whose sum is σ = 132776280. Its totient is φ = 23119872.

The previous prime is 58405603. The next prime is 58405657. The reversal of 58405640 is 4650485.

58405640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56040196 + 2365444 = 7486^2 + 1538^2 .

It is a super-2 number, since 2×584056402 = 6822437567619200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58405597 and 58405606.

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, 3647 + ... + 11406.

Almost surely, 258405640 is an apocalyptic number.

It is an amenable number.

58405640 is an abundant number, since it is smaller than the sum of its proper divisors (74370640).

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

58405640 is a wasteful number, since it uses less digits than its factorization.

58405640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 58405640 is about 7642.3582747736. The cubic root of 58405640 is about 387.9879721357.

The spelling of 58405640 in words is "fifty-eight million, four hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 15053 30106 60212 75265 120424 150530 301060 602120 1460141 2920282 5840564 7300705 11681128 14601410 29202820 58405640