Search a number
-
+
248826130 = 25741181479
BaseRepresentation
bin11101101010011…
…00100100010010
3122100012200021121
432311030210102
51002144414010
640405112454
76110662420
oct1665144422
9570180247
10248826130
11118501833
126b3b872a
133c7212c7
1425092110
1516ca13da
hexed4c912

248826130 has 64 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 82598400.

The previous prime is 248826107. The next prime is 248826143. The reversal of 248826130 is 31628842.

248826130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 519231 + ... + 519709.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2248826130 is an apocalyptic number.

248826130 is an abundant number, since it is smaller than the sum of its proper divisors (279527150).

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

248826130 is a wasteful number, since it uses less digits than its factorization.

248826130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 248826130 is about 15774.2235942058. The cubic root of 248826130 is about 628.9729886633.

The spelling of 248826130 in words is "two hundred forty-eight million, eight hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 181 205 287 362 410 479 574 905 958 1267 1435 1810 2395 2534 2870 3353 4790 6335 6706 7421 12670 14842 16765 19639 33530 37105 39278 51947 74210 86699 98195 103894 137473 173398 196390 259735 274946 433495 519470 606893 687365 866990 1213786 1374730 3034465 3554659 6068930 7109318 17773295 24882613 35546590 49765226 124413065 248826130