Search a number
-
+
48212766 = 2337319137
BaseRepresentation
bin1011011111101…
…0101100011110
310100201110111000
42313322230132
544320302031
64441211130
71123542000
oct267725436
9110643430
1048212766
112523aa68
1214190aa6
139cb0a84
146590370
1543753e6
hex2dfab1e

48212766 has 128 divisors (see below), whose sum is σ = 132480000. Its totient is φ = 12954816.

The previous prime is 48212743. The next prime is 48212803. The reversal of 48212766 is 66721284.

Its product of digits (32256) is a multiple of the sum of its prime divisors (168).

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 48212766.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 351850 + ... + 351986.

It is an arithmetic number, because the mean of its divisors is an integer number (1035000).

Almost surely, 248212766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48212766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240000).

48212766 is an abundant number, since it is smaller than the sum of its proper divisors (84267234).

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

48212766 is a wasteful number, since it uses less digits than its factorization.

48212766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 48212766 is about 6943.5413154960. The cubic root of 48212766 is about 363.9603013905.

The spelling of 48212766 in words is "forty-eight million, two hundred twelve thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 137 147 171 189 266 274 294 342 343 378 399 411 441 513 686 798 822 882 931 959 1026 1029 1197 1233 1323 1862 1918 2058 2394 2466 2603 2646 2793 2877 3087 3591 3699 5206 5586 5754 6174 6517 6713 7182 7398 7809 8379 8631 9261 13034 13426 15618 16758 17262 18221 18522 19551 20139 23427 25137 25893 36442 39102 40278 46854 46991 50274 51786 54663 58653 60417 70281 93982 109326 117306 120834 127547 140562 140973 163989 175959 181251 255094 281946 327978 351918 362502 382641 422919 491967 765282 845838 892829 983934 1147923 1268757 1785658 2295846 2537514 2678487 3443769 5356974 6887538 8035461 16070922 24106383 48212766