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4793140440 = 2333511834861
BaseRepresentation
bin1000111011011000…
…11000010011011000
3110101001010202121000
410131230120103120
534304020443230
62111341345000
7226531010244
oct43554302330
913331122530
104793140440
11203a66a3a0
12b19268160
135b504229a
14336815424
151d0be4b60
hex11db184d8

4793140440 has 256 divisors, whose sum is σ = 17643225600. Its totient is φ = 1147737600.

The previous prime is 4793140409. The next prime is 4793140477. The reversal of 4793140440 is 440413974.

4793140440 is a `hidden beast` number, since 4 + 79 + 3 + 140 + 440 = 666.

It is a super-3 number, since 3×47931404403 (a number of 30 digits) contains 333 as substring.

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 = 4793140395 and 4793140404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983610 + ... + 988470.

It is an arithmetic number, because the mean of its divisors is an integer number (68918850).

Almost surely, 24793140440 is an apocalyptic number.

4793140440 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 4793140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821612800).

4793140440 is an abundant number, since it is smaller than the sum of its proper divisors (12850085160).

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

4793140440 is a wasteful number, since it uses less digits than its factorization.

4793140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4793140440 is about 69232.5099934994. The cubic root of 4793140440 is about 1686.0613951630.

The spelling of 4793140440 in words is "four billion, seven hundred ninety-three million, one hundred forty thousand, four hundred forty".