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4939280640 = 283357171201
BaseRepresentation
bin1001001100110011…
…10111000100000000
3110202020010110021000
410212121313010000
540103423440030
62134041532000
7233254123050
oct44631670400
913666113230
104939280640
112105105718
12b5a1a4000
136093bc388
1434bdb7560
151dd960860
hex126677100

4939280640 has 576 divisors, whose sum is σ = 21227512320. Its totient is φ = 1061683200.

The previous prime is 4939280629. The next prime is 4939280693. The reversal of 4939280640 is 460829394.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112040 + ... + 4113240.

It is an arithmetic number, because the mean of its divisors is an integer number (36853320).

Almost surely, 24939280640 is an apocalyptic number.

4939280640 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 4939280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613756160).

4939280640 is an abundant number, since it is smaller than the sum of its proper divisors (16288231680).

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

4939280640 is a wasteful number, since it uses less digits than its factorization.

4939280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4939280640 is about 70280.0159362532. The cubic root of 4939280640 is about 1703.0258268274.

The spelling of 4939280640 in words is "four billion, nine hundred thirty-nine million, two hundred eighty thousand, six hundred forty".