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4983631488 = 273311337389
BaseRepresentation
bin1001010010000110…
…00010111010000000
3110212022120201012000
410221003002322000
540201302201423
62142304304000
7234333111603
oct45103027200
913768521160
104983631488
112128148110
12b71012000
1361564a394
14353c4033a
151e27c1843
hex1290c2e80

4983631488 has 256 divisors, whose sum is σ = 16134768000. Its totient is φ = 1501839360.

The previous prime is 4983631487. The next prime is 4983631489. The reversal of 4983631488 is 8841363894.

4983631488 is a `hidden beast` number, since 498 + 3 + 6 + 3 + 148 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4983631487) and next prime (4983631489).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4983631483) 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 31 ways as a sum of consecutive naturals, for example, 12811198 + ... + 12811586.

Almost surely, 24983631488 is an apocalyptic number.

4983631488 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 4983631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067384000).

4983631488 is an abundant number, since it is smaller than the sum of its proper divisors (11151136512).

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

4983631488 is a wasteful number, since it uses less digits than its factorization.

4983631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 742 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 4983631488 is about 70594.8403780333. The cubic root of 4983631488 is about 1708.1079226195.

The spelling of 4983631488 in words is "four billion, nine hundred eighty-three million, six hundred thirty-one thousand, four hundred eighty-eight".