Search a number
-
+
48147744 = 253539463
BaseRepresentation
bin1011011110101…
…0110100100000
310100121011021210
42313222310200
544311211434
64435550120
71123151301
oct267526440
9110534253
1048147744
11251a6127
121415b340
139c8a2b8
1465747a8
154360ee9
hex2dead20

48147744 has 48 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 15744768.

The previous prime is 48147739. The next prime is 48147773. The reversal of 48147744 is 44774184.

48147744 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 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, 357 + ... + 9819.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 248147744 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 48147744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

48147744 is an abundant number, since it is smaller than the sum of its proper divisors (80638368).

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

48147744 is a wasteful number, since it uses less digits than its factorization.

48147744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9521 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 48147744 is about 6938.8575428524. The cubic root of 48147744 is about 363.7966097971.

The spelling of 48147744 in words is "forty-eight million, one hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 9463 18926 28389 37852 56778 75704 113556 151408 227112 302816 454224 501539 908448 1003078 1504617 2006156 3009234 4012312 6018468 8024624 12036936 16049248 24073872 48147744