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48988656 = 24322911731
BaseRepresentation
bin1011101011100…
…0000111110000
310102011212210200
42322320013300
5100020114111
64505555200
71133253033
oct272700760
9112155720
1048988656
112571a9a2
12144a5b00
13a1c2c92
14671301a
15447a256
hex2eb81f0

48988656 has 60 divisors (see below), whose sum is σ = 141839880. Its totient is φ = 15765120.

The previous prime is 48988637. The next prime is 48988657. The reversal of 48988656 is 65688984.

It is a happy number.

48988656 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 (48988657) 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 11 ways as a sum of consecutive naturals, for example, 1690 + ... + 10041.

It is an arithmetic number, because the mean of its divisors is an integer number (2363998).

Almost surely, 248988656 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 48988656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70919940).

48988656 is an abundant number, since it is smaller than the sum of its proper divisors (92851224).

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

48988656 is a wasteful number, since it uses less digits than its factorization.

48988656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11765 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 48988656 is about 6999.1896673829. The cubic root of 48988656 is about 365.9023299358.

The spelling of 48988656 in words is "forty-eight million, nine hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 11731 23462 35193 46924 70386 93848 105579 140772 187696 211158 281544 340199 422316 563088 680398 844632 1020597 1360796 1689264 2041194 2721592 3061791 4082388 5443184 6123582 8164776 12247164 16329552 24494328 48988656