Search a number
-
+
248887470 = 235135312041
BaseRepresentation
bin11101101010110…
…11100010101110
3122100022210102110
432311123202232
51002203344340
640410304450
76111336306
oct1665334256
9570283373
10248887470
11118543927
126b428126
133c7431c0
14250aa606
1516cb4680
hexed5b8ae

248887470 has 64 divisors (see below), whose sum is σ = 655470144. Its totient is φ = 60103680.

The previous prime is 248887459. The next prime is 248887477. The reversal of 248887470 is 74788842.

It is a happy number.

248887470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248887477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14650 + ... + 26690.

It is an arithmetic number, because the mean of its divisors is an integer number (10241721).

Almost surely, 2248887470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248887470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327735072).

248887470 is an abundant number, since it is smaller than the sum of its proper divisors (406582674).

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

248887470 is a wasteful number, since it uses less digits than its factorization.

248887470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117.

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 248887470 is about 15776.1677856189. The cubic root of 248887470 is about 629.0246687036.

The spelling of 248887470 in words is "two hundred forty-eight million, eight hundred eighty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 10335 12041 20670 24082 36123 60205 72246 120410 156533 180615 313066 361230 469599 638173 782665 939198 1276346 1565330 1914519 2347995 3190865 3829038 4695990 6381730 8296249 9572595 16592498 19145190 24888747 41481245 49777494 82962490 124443735 248887470