Search a number
-
+
48822018 = 2373789353
BaseRepresentation
bin1011101000111…
…1011100000010
310101212102012220
42322033130002
544444301033
64502231510
71131660150
oct272173402
9111772186
1048822018
1125616783
1214425596
13a16518b
1466ac3d0
154445bb3
hex2e8f702

48822018 has 64 divisors (see below), whose sum is σ = 116225280. Its totient is φ = 13381632.

The previous prime is 48822017. The next prime is 48822023. The reversal of 48822018 is 81022884.

48822018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48822018.

It is not an unprimeable number, because it can be changed into a prime (48822013) 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 31 ways as a sum of consecutive naturals, for example, 138130 + ... + 138482.

It is an arithmetic number, because the mean of its divisors is an integer number (1816020).

Almost surely, 248822018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48822018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58112640).

48822018 is an abundant number, since it is smaller than the sum of its proper divisors (67403262).

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

48822018 is a wasteful number, since it uses less digits than its factorization.

48822018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 48822018 is about 6987.2754346741. The cubic root of 48822018 is about 365.4869786882.

The spelling of 48822018 in words is "forty-eight million, eight hundred twenty-two thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 89 111 178 222 259 267 353 518 534 623 706 777 1059 1246 1554 1869 2118 2471 3293 3738 4942 6586 7413 9879 13061 14826 19758 23051 26122 31417 39183 46102 62834 69153 78366 91427 94251 138306 182854 188502 219919 274281 439838 548562 659757 1162429 1319514 2324858 3487287 6974574 8137003 16274006 24411009 48822018