Search a number
-
+
48983616 = 263411859
BaseRepresentation
bin1011101011011…
…0111001000000
310102011121220000
42322312321000
5100014433431
64505520000
71133232243
oct272667100
9112147800
1048983616
1125717130
12144a3000
13a1c08b6
14671125a
1544789e6
hex2eb6e40

48983616 has 140 divisors (see below), whose sum is σ = 158587440. Its totient is φ = 14826240.

The previous prime is 48983611. The next prime is 48983617. The reversal of 48983616 is 61638984.

48983616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48983611) 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 19 ways as a sum of consecutive naturals, for example, 56595 + ... + 57453.

Almost surely, 248983616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79293720).

48983616 is an abundant number, since it is smaller than the sum of its proper divisors (109603824).

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

48983616 is a wasteful number, since it uses less digits than its factorization.

48983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 875 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48983616 is about 6998.8296164430. The cubic root of 48983616 is about 365.8897813777.

The spelling of 48983616 in words is "forty-eight million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 859 864 891 1056 1188 1296 1584 1718 1728 1782 2112 2376 2577 2592 3168 3436 3564 4752 5154 5184 6336 6872 7128 7731 9449 9504 10308 13744 14256 15462 18898 19008 20616 23193 27488 28347 28512 30924 37796 41232 46386 54976 56694 57024 61848 69579 75592 82464 85041 92772 113388 123696 139158 151184 164928 170082 185544 226776 247392 255123 278316 302368 340164 371088 453552 494784 510246 556632 604736 680328 742176 765369 907104 1020492 1113264 1360656 1484352 1530738 1814208 2040984 2226528 2721312 3061476 4081968 4453056 5442624 6122952 8163936 12245904 16327872 24491808 48983616