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48868768 = 2513791487
BaseRepresentation
bin1011101001101…
…0110110100000
310101221210100101
42322122312200
5100002300033
64503232144
71132243354
oct272326640
9111853311
1048868768
1125648913
1214448654
13a180540
1466c1464
15445497d
hex2e9ada0

48868768 has 48 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 22254336.

The previous prime is 48868763. The next prime is 48868777. The reversal of 48868768 is 86786884.

48868768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48868763) 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 7 ways as a sum of consecutive naturals, for example, 32121 + ... + 33607.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 248868768 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 48868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

48868768 is an abundant number, since it is smaller than the sum of its proper divisors (56124512).

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

48868768 is a wasteful number, since it uses less digits than its factorization.

48868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1581 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 55.

The square root of 48868768 is about 6990.6200011158. The cubic root of 48868768 is about 365.6036000137.

It can be divided in two parts, 4886876 and 8, that added together give a palindrome (4886884).

The spelling of 48868768 in words is "forty-eight million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 632 1027 1264 1487 2054 2528 2974 4108 5948 8216 11896 16432 19331 23792 32864 38662 47584 77324 117473 154648 234946 309296 469892 618592 939784 1527149 1879568 3054298 3759136 6108596 12217192 24434384 48868768