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4592427840 = 263557111359
BaseRepresentation
bin1000100011011101…
…01110001101000000
3102212001110111200000
410101232232031000
533401130142330
62035411400000
7221542664310
oct42156561500
912761414600
104592427840
111a47340010
12a81bb3000
13582598830
14317cc9440
151bd299560
hex111bae340

4592427840 has 1344 divisors, whose sum is σ = 22366955520. Its totient is φ = 865935360.

The previous prime is 4592427817. The next prime is 4592427887. The reversal of 4592427840 is 487242954.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837731 + ... + 77837789.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 24592427840 is an apocalyptic number.

4592427840 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 4592427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183477760).

4592427840 is an abundant number, since it is smaller than the sum of its proper divisors (17774527680).

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

4592427840 is a wasteful number, since it uses less digits than its factorization.

4592427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4592427840 is about 67767.4541354476. The cubic root of 4592427840 is about 1662.1904407144.

The spelling of 4592427840 in words is "four billion, five hundred ninety-two million, four hundred twenty-seven thousand, eight hundred forty".