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4426725840 = 243573252667
BaseRepresentation
bin1000001111101101…
…00111100111010000
3102102111122222020220
410013312213213100
533031220211330
62011132033040
7214461356145
oct40766474720
912374588226
104426725840
111971853709
12a36602780
1355715c904
142ddcb43cc
151ad967710
hex107da79d0

4426725840 has 80 divisors (see below), whose sum is σ = 13910889408. Its totient is φ = 1164284928.

The previous prime is 4426725833. The next prime is 4426725857. The reversal of 4426725840 is 485276244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4426725792 and 4426725801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108814 + ... + 143853.

Almost surely, 24426725840 is an apocalyptic number.

4426725840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4426725840 is an abundant number, since it is smaller than the sum of its proper divisors (9484163568).

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

4426725840 is a wasteful number, since it uses less digits than its factorization.

4426725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252756 (or 252750 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 4426725840 is about 66533.6444214504. The cubic root of 4426725840 is about 1641.9535811355.

It can be divided in two parts, 44267 and 25840, that added together give a palindrome (70107).

The spelling of 4426725840 in words is "four billion, four hundred twenty-six million, seven hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 252667 505334 758001 1010668 1263335 1516002 2021336 2526670 3032004 3790005 4042672 5053340 6064008 7580010 10106680 12128016 15160020 18444691 20213360 30320040 36889382 55334073 60640080 73778764 92223455 110668146 147557528 184446910 221336292 276670365 295115056 368893820 442672584 553340730 737787640 885345168 1106681460 1475575280 2213362920 4426725840