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48449120 = 255793833
BaseRepresentation
bin1011100011010…
…0011001100000
310101011110200212
42320310121200
544400332440
64450233252
71125545036
oct270643140
9111143625
1048449120
11253915a5
1214285828
13a064525
146612556
1543c0465
hex2e34660

48449120 has 48 divisors (see below), whose sum is σ = 115940160. Its totient is φ = 19129344.

The previous prime is 48449119. The next prime is 48449123. The reversal of 48449120 is 2194484.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449123) 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, 10724 + ... + 14556.

It is an arithmetic number, because the mean of its divisors is an integer number (2415420).

Almost surely, 248449120 is an apocalyptic number.

48449120 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 48449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970080).

48449120 is an abundant number, since it is smaller than the sum of its proper divisors (67491040).

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

48449120 is a wasteful number, since it uses less digits than its factorization.

48449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 48449120 is about 6960.5402089206. The cubic root of 48449120 is about 364.5540810780.

The spelling of 48449120 in words is "forty-eight million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 3833 6320 7666 12640 15332 19165 30664 38330 61328 76660 122656 153320 302807 306640 605614 613280 1211228 1514035 2422456 3028070 4844912 6056140 9689824 12112280 24224560 48449120