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48479872 = 27761887
BaseRepresentation
bin1011100011101…
…1111010000000
310101020000212211
42320323322000
544402323442
64451031504
71126033510
oct270737200
9111200784
1048479872
1125402711
121429b594
13a07551c
14661d840
1543c9617
hex2e3be80

48479872 has 64 divisors (see below), whose sum is σ = 112314240. Its totient is φ = 20413440.

The previous prime is 48479861. The next prime is 48479891. The reversal of 48479872 is 27897484.

48479872 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 (64).

It is an unprimeable number.

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, 54213 + ... + 55099.

It is an arithmetic number, because the mean of its divisors is an integer number (1754910).

Almost surely, 248479872 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 48479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157120).

48479872 is an abundant number, since it is smaller than the sum of its proper divisors (63834368).

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

48479872 is an equidigital number, since it uses as much as digits as its factorization.

48479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 957 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 48479872 is about 6962.7488824458. The cubic root of 48479872 is about 364.6311956262.

The spelling of 48479872 in words is "forty-eight million, four hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 887 896 976 1708 1774 1952 3416 3548 3904 6209 6832 7096 7808 12418 13664 14192 24836 27328 28384 49672 54107 54656 56768 99344 108214 113536 198688 216428 378749 397376 432856 757498 794752 865712 1514996 1731424 3029992 3462848 6059984 6925696 12119968 24239936 48479872