Search a number
-
+
48273344 = 267277389
BaseRepresentation
bin1011100000100…
…1011111000000
310100211112120122
42320021133000
544324221334
64442355412
71124213420
oct270113700
9110745518
1048273344
1125281529
12141bbb68
13a002512
1465a8480
15438832e
hex2e097c0

48273344 has 56 divisors (see below), whose sum is σ = 110154720. Its totient is φ = 20560896.

The previous prime is 48273289. The next prime is 48273347. The reversal of 48273344 is 44337284.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48273347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123902 + ... + 124290.

Almost surely, 248273344 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 48273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55077360).

48273344 is an abundant number, since it is smaller than the sum of its proper divisors (61881376).

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

48273344 is a wasteful number, since it uses less digits than its factorization.

48273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

The square root of 48273344 is about 6947.9021294201. The cubic root of 48273344 is about 364.1126729245.

The spelling of 48273344 in words is "forty-eight million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 389 448 554 778 1108 1556 1939 2216 2723 3112 3878 4432 5446 6224 7756 8864 10892 12448 15512 17728 21784 24896 31024 43568 62048 87136 107753 124096 174272 215506 431012 754271 862024 1508542 1724048 3017084 3448096 6034168 6896192 12068336 24136672 48273344