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48110944 = 257261503
BaseRepresentation
bin1011011110000…
…1110101100000
310100112021210211
42313201311200
544304022234
64435103504
71122636100
oct267416540
9110467724
1048110944
1125180512
1214141b94
139c7661b
146565200
154355164
hex2de1d60

48110944 has 72 divisors (see below), whose sum is σ = 112211568. Its totient is φ = 20240640.

The previous prime is 48110911. The next prime is 48110981. The reversal of 48110944 is 44901184.

48110944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×481109442 = 4629325865142272, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 95397 + ... + 95899.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 248110944 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 48110944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784).

48110944 is an abundant number, since it is smaller than the sum of its proper divisors (64100624).

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

48110944 is a wasteful number, since it uses less digits than its factorization.

48110944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 48110944 is about 6936.2053026132. The cubic root of 48110944 is about 363.7039012132.

The spelling of 48110944 in words is "forty-eight million, one hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 503 784 854 976 1006 1568 1708 1952 2012 2989 3416 3521 4024 5978 6832 7042 8048 11956 13664 14084 16096 23912 24647 28168 30683 47824 49294 56336 61366 95648 98588 112672 122732 197176 214781 245464 394352 429562 490928 788704 859124 981856 1503467 1718248 3006934 3436496 6013868 6872992 12027736 24055472 48110944