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1482022080 = 2632571141163
BaseRepresentation
bin101100001010101…
…1101110011000000
310211021200112002200
41120111131303000
511013344201310
6403020513200
751503660040
oct13025356300
93737615080
101482022080
116a0621140
123543ab800
131a8069356
14100b83720
158a1979c0
hex5855dcc0

1482022080 has 672 divisors, whose sum is σ = 6550322688. Its totient is φ = 298598400.

The previous prime is 1482022063. The next prime is 1482022081. The reversal of 1482022080 is 802202841.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1482022081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9092079 + ... + 9092241.

It is an arithmetic number, because the mean of its divisors is an integer number (9747504).

Almost surely, 21482022080 is an apocalyptic number.

1482022080 is a gapful number since it is divisible by the number (10) 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 1482022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275161344).

1482022080 is an abundant number, since it is smaller than the sum of its proper divisors (5068300608).

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

1482022080 is a wasteful number, since it uses less digits than its factorization.

1482022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1482022080 is about 38497.0398862042. The cubic root of 1482022080 is about 1140.1226091580.

The spelling of 1482022080 in words is "one billion, four hundred eighty-two million, twenty-two thousand, eighty".