Search a number
-
+
58045361 = 1117219312
BaseRepresentation
bin1101110101101…
…1001110110001
311001020000021012
43131123032301
5104324422421
65432040305
71303243313
oct335331661
9131200235
1058045361
112a846380
1217533095
13c04438a
1479cd7b3
15516895b
hex375b3b1

58045361 has 36 divisors (see below), whose sum is σ = 73164240. Its totient is φ = 45532800.

The previous prime is 58045357. The next prime is 58045363. The reversal of 58045361 is 16354085.

58045361 = T304 + T305 + ... + T721.

It is a happy number.

It is not a de Polignac number, because 58045361 - 22 = 58045357 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58045363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1872416 + ... + 1872446.

It is an arithmetic number, because the mean of its divisors is an integer number (2032340).

Almost surely, 258045361 is an apocalyptic number.

It is an amenable number.

58045361 is a deficient number, since it is larger than the sum of its proper divisors (15118879).

58045361 is a wasteful number, since it uses less digits than its factorization.

58045361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 58045361 is about 7618.7506193601. The cubic root of 58045361 is about 387.1885497412.

The spelling of 58045361 in words is "fifty-eight million, forty-five thousand, three hundred sixty-one".

Divisors: 1 11 17 19 31 187 209 289 323 341 527 589 961 3179 3553 5491 5797 6479 8959 10013 10571 16337 18259 60401 98549 110143 170221 179707 200849 277729 310403 1872431 3055019 3414433 5276851 58045361