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4238865440 = 25533180039
BaseRepresentation
bin1111110010100111…
…1111010000100000
3101221102011200020022
43330221333100200
532140122143230
61540341333012
7210020522165
oct37451772040
911842150208
104238865440
111885802387
129a3707168
13527266004
142c2d7206c
1519c20a1e5
hexfca7f420

4238865440 has 48 divisors (see below), whose sum is σ = 10044699840. Its totient is φ = 1690402560.

The previous prime is 4238865419. The next prime is 4238865461. The reversal of 4238865440 is 445688324.

It is an interprime number because it is at equal distance from previous prime (4238865419) and next prime (4238865461).

It is a junction number, because it is equal to n+sod(n) for n = 4238865391 and 4238865400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12941 + ... + 92979.

It is an arithmetic number, because the mean of its divisors is an integer number (209264580).

Almost surely, 24238865440 is an apocalyptic number.

4238865440 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 4238865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022349920).

4238865440 is an abundant number, since it is smaller than the sum of its proper divisors (5805834400).

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

4238865440 is a wasteful number, since it uses less digits than its factorization.

4238865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80385 (or 80377 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The square root of 4238865440 is about 65106.5698681784. The cubic root of 4238865440 is about 1618.3900889039.

The spelling of 4238865440 in words is "four billion, two hundred thirty-eight million, eight hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 1324 1655 2648 3310 5296 6620 10592 13240 26480 52960 80039 160078 320156 400195 640312 800390 1280624 1600780 2561248 3201560 6403120 12806240 26492909 52985818 105971636 132464545 211943272 264929090 423886544 529858180 847773088 1059716360 2119432720 4238865440