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4026444444 = 2233117514513
BaseRepresentation
bin1110111111111110…
…1010101010011100
3101101121110120102000
43233333222222130
531221232210234
61503312402300
7201531133041
oct35777525234
911347416360
104026444444
111786906340
12944546390
134c2250209
142a2a791c8
1518874a899
hexeffeaa9c

4026444444 has 96 divisors (see below), whose sum is σ = 11405614080. Its totient is φ = 1218240000.

The previous prime is 4026444431. The next prime is 4026444463. The reversal of 4026444444 is 4444446204.

4026444444 is a `hidden beast` number, since 4 + 0 + 2 + 644 + 4 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

4026444444 is a modest number, since divided by 44444 gives 40264 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4026444399 and 4026444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889932 + ... + 894444.

It is an arithmetic number, because the mean of its divisors is an integer number (118808480).

Almost surely, 24026444444 is an apocalyptic number.

4026444444 is a gapful number since it is divisible by the number (44) 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 4026444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702807040).

4026444444 is an abundant number, since it is smaller than the sum of its proper divisors (7379169636).

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

4026444444 is a wasteful number, since it uses less digits than its factorization.

4026444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The square root of 4026444444 is about 63454.2704945853. The cubic root of 4026444444 is about 1590.8915327649.

The spelling of 4026444444 in words is "four billion, twenty-six million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 751 1188 1502 2253 3004 4506 4513 6759 8261 9012 9026 13518 13539 16522 18052 20277 24783 27036 27078 33044 40554 40617 49566 49643 54156 74349 81108 81234 99132 99286 121851 148698 148929 162468 198572 223047 243702 297396 297858 446094 446787 487404 595716 892188 893574 1340361 1787148 2680722 3389263 5361444 6778526 10167789 13557052 20335578 30503367 37281893 40671156 61006734 74563786 91510101 111845679 122013468 149127572 183020202 223691358 335537037 366040404 447382716 671074074 1006611111 1342148148 2013222222 4026444444