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483294240 = 2532511132347
BaseRepresentation
bin11100110011100…
…111110000100000
31020200101220001200
4130303213300200
51442210403430
6115542401200
714655635052
oct3463476040
91220356050
10483294240
11228897130
12115a30200
1379186230
14482878d2
152c668460
hex1cce7c20

483294240 has 288 divisors, whose sum is σ = 1938396096. Its totient is φ = 108103680.

The previous prime is 483294221. The next prime is 483294257. The reversal of 483294240 is 42492384.

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 junction number, because it is equal to n+sod(n) for n = 483294195 and 483294204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204747 + ... + 207093.

It is an arithmetic number, because the mean of its divisors is an integer number (6730542).

Almost surely, 2483294240 is an apocalyptic number.

483294240 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 483294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969198048).

483294240 is an abundant number, since it is smaller than the sum of its proper divisors (1455101856).

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

483294240 is a wasteful number, since it uses less digits than its factorization.

483294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2381 counting only the distinct ones).

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

The square root of 483294240 is about 21983.9541484238. The cubic root of 483294240 is about 784.7606285991.

The spelling of 483294240 in words is "four hundred eighty-three million, two hundred ninety-four thousand, two hundred forty".