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483045120 = 283551553
BaseRepresentation
bin11100110010101…
…010111100000000
31020122221020100000
4130302222330000
51442124420440
6115533200000
714653546545
oct3462527400
91218836300
10483045120
11228736a48
12115930000
13790c9a1c
1448220bcc
152c619730
hex1ccaaf00

483045120 has 216 divisors, whose sum is σ = 1734301296. Its totient is φ = 128729088.

The previous prime is 483045119. The next prime is 483045139. The reversal of 483045120 is 21540384.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310264 + ... + 311816.

Almost surely, 2483045120 is an apocalyptic number.

483045120 is a gapful number since it is divisible by the number (40) 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 483045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867150648).

483045120 is an abundant number, since it is smaller than the sum of its proper divisors (1251256176).

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

483045120 is an equidigital number, since it uses as much as digits as its factorization.

483045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 483045120 is about 21978.2874674075. The cubic root of 483045120 is about 784.6257672302.

The spelling of 483045120 in words is "four hundred eighty-three million, forty-five thousand, one hundred twenty".