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48789720 = 233257191019
BaseRepresentation
bin1011101000011…
…1100011011000
310101210202220200
42322013203120
544442232340
64501422200
71131464040
oct272074330
9111722820
1048789720
11255a4491
121440a960
13a153575
1466a0720
15443b330
hex2e878d8

48789720 has 192 divisors, whose sum is σ = 190944000. Its totient is φ = 10554624.

The previous prime is 48789703. The next prime is 48789721. The reversal of 48789720 is 2798784.

48789720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48789721) 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 47 ways as a sum of consecutive naturals, for example, 47371 + ... + 48389.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 248789720 is an apocalyptic number.

48789720 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 48789720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472000).

48789720 is an abundant number, since it is smaller than the sum of its proper divisors (142154280).

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

48789720 is a wasteful number, since it uses less digits than its factorization.

48789720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 48789720 is about 6984.9638510160. The cubic root of 48789720 is about 365.4063654529.

The spelling of 48789720 in words is "forty-eight million, seven hundred eighty-nine thousand, seven hundred twenty".