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48022000 = 2453131847
BaseRepresentation
bin1011011100110…
…0000111110000
310100100202210121
42313030013300
544243201000
64433140024
71122115555
oct267140760
9110322717
1048022000
112511a704
12140ba614
139c44cb0
146540a2c
154338b1a
hex2dcc1f0

48022000 has 80 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 17721600.

The previous prime is 48021983. The next prime is 48022001. The reversal of 48022000 is 22084.

48022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×480220002 = 4612224968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48022001) 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, 25077 + ... + 26923.

Almost surely, 248022000 is an apocalyptic number.

48022000 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 48022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

48022000 is an abundant number, since it is smaller than the sum of its proper divisors (77094992).

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

48022000 is a wasteful number, since it uses less digits than its factorization.

48022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 48022000 is about 6929.7907616320. The cubic root of 48022000 is about 363.4796332151.

Adding to 48022000 its reverse (22084), we get a palindrome (48044084).

The spelling of 48022000 in words is "forty-eight million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 1847 2000 2600 3250 3694 5200 6500 7388 9235 13000 14776 18470 24011 26000 29552 36940 46175 48022 73880 92350 96044 120055 147760 184700 192088 230875 240110 369400 384176 461750 480220 600275 738800 923500 960440 1200550 1847000 1920880 2401100 3001375 3694000 4802200 6002750 9604400 12005500 24011000 48022000