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1483208640 = 263253137449
BaseRepresentation
bin101100001100111…
…1111011111000000
310211100220210202100
41120121333133000
511014200134030
6403102150400
751520031304
oct13031773700
93740823670
101483208640
116a1261671
12354882400
131a8393464
14100db1d04
158a32e360
hex5867f7c0

1483208640 has 336 divisors, whose sum is σ = 5420563200. Its totient is φ = 371589120.

The previous prime is 1483208633. The next prime is 1483208653. The reversal of 1483208640 is 468023841.

1483208640 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 2 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1483208595 and 1483208604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3303136 + ... + 3303584.

Almost surely, 21483208640 is an apocalyptic number.

1483208640 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 1483208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710281600).

1483208640 is an abundant number, since it is smaller than the sum of its proper divisors (3937354560).

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

1483208640 is a wasteful number, since it uses less digits than its factorization.

1483208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1483208640 is about 38512.4478578031. The cubic root of 1483208640 is about 1140.4268023326.

The spelling of 1483208640 in words is "one billion, four hundred eighty-three million, two hundred eight thousand, six hundred forty".