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48142944 = 253355721
BaseRepresentation
bin1011011110100…
…1101001100000
310100120220201000
42313221221200
544311033234
64435512000
71123131303
oct267515140
9110526630
1048142944
11251a2563
1214158600
139c88065
146572b3a
15435e899
hex2de9a60

48142944 has 48 divisors (see below), whose sum is σ = 140419440. Its totient is φ = 16047360.

The previous prime is 48142931. The next prime is 48142949. The reversal of 48142944 is 44924184.

48142944 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 Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48142899 and 48142908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48142949) 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, 26997 + ... + 28724.

It is an arithmetic number, because the mean of its divisors is an integer number (2925405).

Almost surely, 248142944 is an apocalyptic number.

It is an amenable number.

48142944 is an abundant number, since it is smaller than the sum of its proper divisors (92276496).

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

48142944 is a wasteful number, since it uses less digits than its factorization.

48142944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55740 (or 55726 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48142944 is about 6938.5116559677. The cubic root of 48142944 is about 363.7845200527.

The spelling of 48142944 in words is "forty-eight million, one hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 55721 111442 167163 222884 334326 445768 501489 668652 891536 1002978 1337304 1504467 1783072 2005956 2674608 3008934 4011912 5349216 6017868 8023824 12035736 16047648 24071472 48142944