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483043680 = 253257173277
BaseRepresentation
bin11100110010101…
…010100101100000
31020122221011100200
4130302222211200
51442124344210
6115533145200
714653542420
oct3462524540
91218834320
10483043680
11228735959
1211592b200
13790c9182
1448220480
152c6190c0
hex1ccaa960

483043680 has 288 divisors, whose sum is σ = 1901600064. Its totient is φ = 109375488.

The previous prime is 483043667. The next prime is 483043709. The reversal of 483043680 is 86340384.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1743702 + ... + 1743978.

It is an arithmetic number, because the mean of its divisors is an integer number (6602778).

Almost surely, 2483043680 is an apocalyptic number.

483043680 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 483043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950800032).

483043680 is an abundant number, since it is smaller than the sum of its proper divisors (1418556384).

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

483043680 is a wasteful number, since it uses less digits than its factorization.

483043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 483043680 is about 21978.2547077788. The cubic root of 483043680 is about 784.6249875499.

It can be divided in two parts, 48304 and 3680, that added together give a square (51984 = 2282).

The spelling of 483043680 in words is "four hundred eighty-three million, forty-three thousand, six hundred eighty".