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48908256 = 253673757
BaseRepresentation
bin1011101010010…
…0011111100000
310102000210111220
42322210133200
5100010031011
64504135040
71132466445
oct272443740
9112023456
1048908256
1125675551
1214467480
13a1954c7
1466d19cc
154461506
hex2ea47e0

48908256 has 48 divisors (see below), whose sum is σ = 128744784. Its totient is φ = 16257024.

The previous prime is 48908221. The next prime is 48908257. The reversal of 48908256 is 65280984.

48908256 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48908257) 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, 64230 + ... + 64986.

It is an arithmetic number, because the mean of its divisors is an integer number (2682183).

Almost surely, 248908256 is an apocalyptic number.

48908256 is the 4038-th octagonal number.

It is an amenable number.

48908256 is an abundant number, since it is smaller than the sum of its proper divisors (79836528).

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

48908256 is a wasteful number, since it uses less digits than its factorization.

48908256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 48908256 is about 6993.4437868621. The cubic root of 48908256 is about 365.7020478141.

The spelling of 48908256 in words is "forty-eight million, nine hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 673 757 1346 1514 2019 2271 2692 3028 4038 4542 5384 6056 8076 9084 10768 12112 16152 18168 21536 24224 32304 36336 64608 72672 509461 1018922 1528383 2037844 3056766 4075688 6113532 8151376 12227064 16302752 24454128 48908256