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48776382 = 232191271123
BaseRepresentation
bin1011101000010…
…0010010111110
310101210002121200
42322010102332
544441321012
64501240330
71131410124
oct272042276
9111702550
1048776382
1125595466
12144030a6
13a14a485
146699914
1544373dc
hex2e844be

48776382 has 48 divisors (see below), whose sum is σ = 112220160. Its totient is φ = 15268176.

The previous prime is 48776381. The next prime is 48776389. The reversal of 48776382 is 28367784.

It is a happy number.

48776382 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 638 + 2 = 666.

48776382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48776381) 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 23 ways as a sum of consecutive naturals, for example, 42873 + ... + 43995.

It is an arithmetic number, because the mean of its divisors is an integer number (2337920).

Almost surely, 248776382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48776382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56110080).

48776382 is an abundant number, since it is smaller than the sum of its proper divisors (63443778).

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

48776382 is a wasteful number, since it uses less digits than its factorization.

48776382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1274 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 48776382 is about 6984.0090206127. The cubic root of 48776382 is about 365.3730644877.

The spelling of 48776382 in words is "forty-eight million, seven hundred seventy-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1123 1143 2246 2286 2413 3369 4826 6738 7239 10107 14478 20214 21337 21717 42674 43434 64011 128022 142621 192033 285242 384066 427863 855726 1283589 2567178 2709799 5419598 8129397 16258794 24388191 48776382