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48716448 = 2531146133
BaseRepresentation
bin1011100111010…
…1101010100000
310101200001101220
42321311222200
544432411243
64500055040
71131040314
oct271655240
9111601356
1048716448
1125554430
1214394480
13a129101
146681b44
154424783
hex2e75aa0

48716448 has 48 divisors (see below), whose sum is σ = 139509216. Its totient is φ = 14762240.

The previous prime is 48716443. The next prime is 48716449. The reversal of 48716448 is 84461784.

It is a happy number.

48716448 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 not an unprimeable number, because it can be changed into a prime (48716443) 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, 22011 + ... + 24122.

It is an arithmetic number, because the mean of its divisors is an integer number (2906442).

Almost surely, 248716448 is an apocalyptic number.

48716448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48716448 is an abundant number, since it is smaller than the sum of its proper divisors (90792768).

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

48716448 is a wasteful number, since it uses less digits than its factorization.

48716448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46157 (or 46149 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 48716448 is about 6979.7168997030. The cubic root of 48716448 is about 365.2233523822.

The spelling of 48716448 in words is "forty-eight million, seven hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 46133 92266 138399 184532 276798 369064 507463 553596 738128 1014926 1107192 1476256 1522389 2029852 2214384 3044778 4059704 4428768 6089556 8119408 12179112 16238816 24358224 48716448