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48163856 = 24131753257
BaseRepresentation
bin1011011110111…
…0110000010000
310100121222101112
42313232300100
544312220411
64440152452
71123246256
oct267566020
9110558345
1048163856
1125207244
1214168728
139c94730
14657a5d6
154365b8b
hex2deec10

48163856 has 80 divisors (see below), whose sum is σ = 108836784. Its totient is φ = 20447232.

The previous prime is 48163823. The next prime is 48163891. The reversal of 48163856 is 65836184.

48163856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7203856 + 40960000 = 2684^2 + 6400^2 .

It is a super-3 number, since 3×481638563 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187280 + ... + 187536.

Almost surely, 248163856 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 48163856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54418392).

48163856 is an abundant number, since it is smaller than the sum of its proper divisors (60672928).

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

48163856 is a wasteful number, since it uses less digits than its factorization.

48163856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 48163856 is about 6940.0184437795. The cubic root of 48163856 is about 363.8371851650.

The spelling of 48163856 in words is "forty-eight million, one hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 257 272 424 442 514 689 848 884 901 1028 1378 1768 1802 2056 2756 3341 3536 3604 4112 4369 5512 6682 7208 8738 11024 11713 13364 13621 14416 17476 23426 26728 27242 34952 46852 53456 54484 56797 69904 93704 108968 113594 177073 187408 217936 227188 231557 354146 454376 463114 708292 908752 926228 1416584 1852456 2833168 3010241 3704912 6020482 12040964 24081928 48163856