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483746688 = 27331953139
BaseRepresentation
bin11100110101010…
…110001110000000
31020201020212201000
4130311112032000
51442314343223
6120000212000
714662531125
oct3465261600
91221225630
10483746688
11229076057
1211600a000
13792b4159
144836474c
152c707543
hex1cd56380

483746688 has 256 divisors, whose sum is σ = 1542240000. Its totient is φ = 148801536.

The previous prime is 483746677. The next prime is 483746717. The reversal of 483746688 is 886647384.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6193152) is a multiple of the sum of its prime divisors (216).

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 31 ways as a sum of consecutive naturals, for example, 3480123 + ... + 3480261.

It is an arithmetic number, because the mean of its divisors is an integer number (6024375).

Almost surely, 2483746688 is an apocalyptic number.

483746688 is a gapful number since it is divisible by the number (48) 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 483746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

483746688 is an abundant number, since it is smaller than the sum of its proper divisors (1058493312).

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

483746688 is a wasteful number, since it uses less digits than its factorization.

483746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 483746688 is about 21994.2421556188. The cubic root of 483746688 is about 785.0054433203.

The spelling of 483746688 in words is "four hundred eighty-three million, seven hundred forty-six thousand, six hundred eighty-eight".