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1481483520 = 2835511433
BaseRepresentation
bin101100001001101…
…1010010100000000
310211020200011100000
41120103122110000
511013224433040
6403001200000
751466254636
oct13023322400
93736604300
101481483520
116a0293550
12354190000
131a7c0b18a
14100a83356
158a0dd130
hex584da500

1481483520 has 432 divisors, whose sum is σ = 5812252992. Its totient is φ = 358318080.

The previous prime is 1481483519. The next prime is 1481483527. The reversal of 1481483520 is 253841841.

1481483520 is a `hidden beast` number, since 1 + 48 + 14 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481483527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421224 + ... + 3421656.

Almost surely, 21481483520 is an apocalyptic number.

1481483520 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 1481483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906126496).

1481483520 is an abundant number, since it is smaller than the sum of its proper divisors (4330769472).

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

1481483520 is an equidigital number, since it uses as much as digits as its factorization.

1481483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1481483520 is about 38490.0444270983. The cubic root of 1481483520 is about 1139.9844873235.

The spelling of 1481483520 in words is "one billion, four hundred eighty-one million, four hundred eighty-three thousand, five hundred twenty".