Search a number
-
+
48444120 = 23325532539
BaseRepresentation
bin1011100011001…
…1001011011000
310101011012211200
42320303023120
544400202440
64450154200
71125524334
oct270631330
9111135750
1048444120
112538886a
1214282960
13a06217a
1466107c4
1543bdc30
hex2e332d8

48444120 has 96 divisors (see below), whose sum is σ = 160477200. Its totient is φ = 12669696.

The previous prime is 48444079. The next prime is 48444127. The reversal of 48444120 is 2144484.

It is a happy number.

48444120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48444127) 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 23 ways as a sum of consecutive naturals, for example, 17811 + ... + 20349.

Almost surely, 248444120 is an apocalyptic number.

48444120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80238600).

48444120 is an abundant number, since it is smaller than the sum of its proper divisors (112033080).

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

48444120 is a wasteful number, since it uses less digits than its factorization.

48444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 48444120 is about 6960.1810321284. The cubic root of 48444120 is about 364.5415398587.

The spelling of 48444120 in words is "forty-eight million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 2539 3180 3816 4770 5078 6360 7617 9540 10156 12695 15234 19080 20312 22851 25390 30468 38085 45702 50780 60936 76170 91404 101560 114255 134567 152340 182808 228510 269134 304680 403701 457020 538268 672835 807402 914040 1076536 1211103 1345670 1614804 2018505 2422206 2691340 3229608 4037010 4844412 5382680 6055515 8074020 9688824 12111030 16148040 24222060 48444120