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4775019840 = 263251725737
BaseRepresentation
bin1000111001001110…
…10000010101000000
3110022210001010210200
410130213100111000
534234401113330
62105453125200
7226220666433
oct43447202500
913283033720
104775019840
112030413098
12b13189800
135b1369436
1433425981a
151ce315a60
hex11c9d0540

4775019840 has 252 divisors, whose sum is σ = 17450072796. Its totient is φ = 1198227456.

The previous prime is 4775019833. The next prime is 4775019841. The reversal of 4775019840 is 489105774.

It is a happy number.

4775019840 is a `hidden beast` number, since 477 + 50 + 1 + 98 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70157376 + 4704862464 = 8376^2 + 68592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4775019841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 829452 + ... + 835188.

Almost surely, 24775019840 is an apocalyptic number.

4775019840 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 4775019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725036398).

4775019840 is an abundant number, since it is smaller than the sum of its proper divisors (12675052956).

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

4775019840 is a wasteful number, since it uses less digits than its factorization.

4775019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4775019840 is about 69101.5183624788. The cubic root of 4775019840 is about 1683.9339780745.

The spelling of 4775019840 in words is "four billion, seven hundred seventy-five million, nineteen thousand, eight hundred forty".