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4691082240 = 2103251341191
BaseRepresentation
bin1000101111001110…
…00011110000000000
3110002221002200001200
410113213003300000
534101404112430
62053254101200
7224151353415
oct42747036000
913087080050
104691082240
111a97aa2579
12aab04a800
13599b5aa10
1432704a10c
151c6c85460
hex1179c3c00

4691082240 has 528 divisors, whose sum is σ = 18025652736. Its totient is φ = 1120665600.

The previous prime is 4691082233. The next prime is 4691082241. The reversal of 4691082240 is 422801964.

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 = 4691082195 and 4691082204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691082241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24560545 + ... + 24560735.

Almost surely, 24691082240 is an apocalyptic number.

4691082240 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 4691082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012826368).

4691082240 is an abundant number, since it is smaller than the sum of its proper divisors (13334570496).

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

4691082240 is a wasteful number, since it uses less digits than its factorization.

4691082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4691082240 is about 68491.4756739844. The cubic root of 4691082240 is about 1674.0085901162.

The spelling of 4691082240 in words is "four billion, six hundred ninety-one million, eighty-two thousand, two hundred forty".