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1482727680 = 283657227
BaseRepresentation
bin101100001100000…
…1010000100000000
310211100000101000000
41120120022010000
511014034241210
6403044000000
751512656140
oct13030120400
93740011000
101482727680
116a0a63285
12354690000
131a8255575
14100cc8920
158a286ac0
hex5860a100

1482727680 has 504 divisors, whose sum is σ = 6112475712. Its totient is φ = 337416192.

The previous prime is 1482727657. The next prime is 1482727693. The reversal of 1482727680 is 867272841.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531727 + ... + 6531953.

It is an arithmetic number, because the mean of its divisors is an integer number (12127928).

Almost surely, 21482727680 is an apocalyptic number.

1482727680 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 1482727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056237856).

1482727680 is an abundant number, since it is smaller than the sum of its proper divisors (4629748032).

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

1482727680 is an frugal number, since it uses more digits than its factorization.

1482727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1482727680 is about 38506.2031366376. The cubic root of 1482727680 is about 1140.3035202898.

The spelling of 1482727680 in words is "one billion, four hundred eighty-two million, seven hundred twenty-seven thousand, six hundred eighty".