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48422720 = 2653892
BaseRepresentation
bin1011100010110…
…1111101000000
310101010010111002
42320231331000
544344011340
64445511132
71125405053
oct270557500
9111103432
1048422720
1125373785
12142724a8
13a0554c8
146606a9a
1543b7715
hex2e2df40

48422720 has 42 divisors (see below), whose sum is σ = 115603782. Its totient is φ = 19319296.

The previous prime is 48422711. The next prime is 48422753. The reversal of 48422720 is 2722484.

48422720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 48330304 = 304^2 + 6952^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 124286 + ... + 124674.

It is an arithmetic number, because the mean of its divisors is an integer number (2752471).

Almost surely, 248422720 is an apocalyptic number.

48422720 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 48422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57801891).

48422720 is an abundant number, since it is smaller than the sum of its proper divisors (67181062).

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

48422720 is an frugal number, since it uses more digits than its factorization.

48422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 48422720 is about 6958.6435459793. The cubic root of 48422720 is about 364.4878536876.

The spelling of 48422720 in words is "forty-eight million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 389 778 1556 1945 3112 3890 6224 7780 12448 15560 24896 31120 62240 124480 151321 302642 605284 756605 1210568 1513210 2421136 3026420 4842272 6052840 9684544 12105680 24211360 48422720