Search a number
-
+
48273857550 = 235524392399
BaseRepresentation
bin101100111101010110…
…001001110000001110
311121121021210001100000
4230331112021300032
51242331101420200
634102100145130
73326162006322
oct547526116016
9147537701300
1048273857550
1119522374746
1294329981a6
13472426c269
14249d3a1982
1513c807a300
hexb3d589c0e

48273857550 has 144 divisors (see below), whose sum is σ = 137628691200. Its totient is φ = 12573519840.

The previous prime is 48273857539. The next prime is 48273857551. The reversal of 48273857550 is 5575837284.

48273857550 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 3 + 85 + 7 + 550 = 666.

48273857550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48273857551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476251 + ... + 568649.

It is an arithmetic number, because the mean of its divisors is an integer number (955754800).

Almost surely, 248273857550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48273857550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68814345600).

48273857550 is an abundant number, since it is smaller than the sum of its proper divisors (89354833650).

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

48273857550 is a wasteful number, since it uses less digits than its factorization.

48273857550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92469 (or 92452 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 48273857550 in words is "forty-eight billion, two hundred seventy-three million, eight hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 129 135 150 162 215 225 243 258 270 387 405 430 450 486 645 675 774 810 1075 1161 1215 1290 1350 1935 2025 2150 2322 2430 3225 3483 3870 4050 5805 6075 6450 6966 9675 10449 11610 12150 17415 19350 20898 29025 34830 52245 58050 87075 92399 104490 174150 184798 261225 277197 461995 522450 554394 831591 923990 1385985 1663182 2309975 2494773 2771970 3973157 4157955 4619950 4989546 6929925 7484319 7946314 8315910 11919471 12473865 13859850 14968638 19865785 20789775 22452957 23838942 24947730 35758413 37421595 39731570 41579550 44905914 59597355 62369325 71516826 74843190 99328925 107275239 112264785 119194710 124738650 178792065 187107975 198657850 214550478 224529570 297986775 321825717 357584130 374215950 536376195 561323925 595973550 643651434 893960325 965477151 1072752390 1122647850 1609128585 1787920650 1930954302 2681880975 3218257170 4827385755 5363761950 8045642925 9654771510 16091285850 24136928775 48273857550