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48981888 = 273314173
BaseRepresentation
bin1011101011011…
…0011110000000
310102011112112000
42322312132000
5100014410023
64505504000
71133224224
oct272663600
9112145460
1048981888
11257158aa
12144a2000
13a1bcb87
146710784
154478243
hex2eb6780

48981888 has 64 divisors (see below), whose sum is σ = 144574800. Its totient is φ = 16326144.

The previous prime is 48981871. The next prime is 48981893. The reversal of 48981888 is 88818984.

48981888 is a `hidden beast` number, since 489 + 81 + 8 + 88 = 666.

48981888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

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

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 7 ways as a sum of consecutive naturals, for example, 3631 + ... + 10542.

Almost surely, 248981888 is an apocalyptic number.

48981888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48981888 is an abundant number, since it is smaller than the sum of its proper divisors (95592912).

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

48981888 is a wasteful number, since it uses less digits than its factorization.

48981888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14178 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 48981888 is about 6998.7061661424. The cubic root of 48981888 is about 365.8854788167.

It can be divided in two parts, 4898 and 1888, that added together give a triangular number (6786 = T116).

The spelling of 48981888 in words is "forty-eight million, nine hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 14173 28346 42519 56692 85038 113384 127557 170076 226768 255114 340152 382671 453536 510228 680304 765342 907072 1020456 1360608 1530684 1814144 2040912 2721216 3061368 4081824 5442432 6122736 8163648 12245472 16327296 24490944 48981888