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48442460 = 22511317103
BaseRepresentation
bin1011100011001…
…0110001011100
310101011010120012
42320302301130
544400124320
64450142352
71125516443
oct270626134
9111133505
1048442460
11253875a0
12142819b8
13a0614a1
14660dd5a
1543bd4c5
hex2e32c5c

48442460 has 48 divisors (see below), whose sum is σ = 114573312. Its totient is φ = 17044800.

The previous prime is 48442453. The next prime is 48442463. The reversal of 48442460 is 6424484.

48442460 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 (48442463) 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 15 ways as a sum of consecutive naturals, for example, 3269 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (2386944).

Almost surely, 248442460 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 48442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57286656).

48442460 is an abundant number, since it is smaller than the sum of its proper divisors (66130852).

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

48442460 is a wasteful number, since it uses less digits than its factorization.

48442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 48442460 is about 6960.0617813350. The cubic root of 48442460 is about 364.5373759831.

It can be divided in two parts, 484424 and 60, that added together give a palindrome (484484).

The spelling of 48442460 in words is "forty-eight million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 7103 14206 28412 35515 71030 78133 142060 156266 220193 312532 390665 440386 781330 880772 1100965 1562660 2201930 2422123 4403860 4844246 9688492 12110615 24221230 48442460