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1482752320 = 265731131163
BaseRepresentation
bin101100001100001…
…0000000101000000
310211100001121210121
41120120100011000
511014041033240
6403044310024
751513121030
oct13030200500
93740047717
101482752320
116a0a7a845
123546a2314
131a826384a
14100cd38c0
158a28e04a
hex58610140

1482752320 has 224 divisors, whose sum is σ = 4222918656. Its totient is φ = 485222400.

The previous prime is 1482752311. The next prime is 1482752333. The reversal of 1482752320 is 232572841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9096559 + ... + 9096721.

Almost surely, 21482752320 is an apocalyptic number.

1482752320 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 1482752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111459328).

1482752320 is an abundant number, since it is smaller than the sum of its proper divisors (2740166336).

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

1482752320 is a wasteful number, since it uses less digits than its factorization.

1482752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 1482752320 is about 38506.5230837582. The cubic root of 1482752320 is about 1140.3098367842.

The spelling of 1482752320 in words is "one billion, four hundred eighty-two million, seven hundred fifty-two thousand, three hundred twenty".