Search a number
-
+
58250144 = 2589113181
BaseRepresentation
bin1101111000110…
…1001110100000
311001121102011202
43132031032200
5104403001034
65440300332
71305055331
oct336151640
9131542152
1058250144
112a976217
12176116a8
13c0b6654
147a44288
1551a947e
hex378d3a0

58250144 has 48 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 28385280.

The previous prime is 58250141. The next prime is 58250207. The reversal of 58250144 is 44105285.

58250144 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 6697744 + 51552400 = 2588^2 + 7180^2 .

It is not an unprimeable number, because it can be changed into a prime (58250141) by changing a digit.

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, 321734 + ... + 321914.

Almost surely, 258250144 is an apocalyptic number.

It is an amenable number.

58250144 is an abundant number, since it is smaller than the sum of its proper divisors (59391016).

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

58250144 is a wasteful number, since it uses less digits than its factorization.

58250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 58250144 is about 7632.1781949847. The cubic root of 58250144 is about 387.6433467575.

The spelling of 58250144 in words is "fifty-eight million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 89 113 178 181 226 356 362 452 712 724 904 1424 1448 1808 2848 2896 3616 5792 10057 16109 20114 20453 32218 40228 40906 64436 80456 81812 128872 160912 163624 257744 321824 327248 515488 654496 1820317 3640634 7281268 14562536 29125072 58250144