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48768888 = 23371072713
BaseRepresentation
bin1011101000001…
…0011101111000
310101202201100010
42322002131320
544441101023
64501141520
71131346230
oct272023570
9111681303
1048768888
112558a873
12143ba8a0
13a146c3c
146696cc0
154435093
hex2e82778

48768888 has 64 divisors (see below), whose sum is σ = 140693760. Its totient is φ = 13798656.

The previous prime is 48768883. The next prime is 48768917. The reversal of 48768888 is 88886784.

48768888 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768883) 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 15 ways as a sum of consecutive naturals, for example, 16620 + ... + 19332.

It is an arithmetic number, because the mean of its divisors is an integer number (2198340).

Almost surely, 248768888 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 48768888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70346880).

48768888 is an abundant number, since it is smaller than the sum of its proper divisors (91924872).

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

48768888 is a wasteful number, since it uses less digits than its factorization.

48768888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 57.

The square root of 48768888 is about 6983.4724886692. The cubic root of 48768888 is about 365.3543515651.

The spelling of 48768888 in words is "forty-eight million, seven hundred sixty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2713 2996 4494 5426 5992 8139 8988 10852 16278 17976 18991 21704 32556 37982 56973 65112 75964 113946 151928 227892 290291 455784 580582 870873 1161164 1741746 2032037 2322328 3483492 4064074 6096111 6966984 8128148 12192222 16256296 24384444 48768888