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4426774740 = 223557112829
BaseRepresentation
bin1000001111101101…
…10011100011010100
3102102111202110100000
410013312303203110
533031223242430
62011133051300
7214461651543
oct40766634324
912374673300
104426774740
111971887423
12a36626b30
13557178c4b
142ddcc815a
151ad976e60
hex107db38d4

4426774740 has 144 divisors (see below), whose sum is σ = 14122442880. Its totient is φ = 1163756160.

The previous prime is 4426774733. The next prime is 4426774763. The reversal of 4426774740 is 474776244.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338646 + ... + 351474.

It is an arithmetic number, because the mean of its divisors is an integer number (98072520).

Almost surely, 24426774740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426774740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061221440).

4426774740 is an abundant number, since it is smaller than the sum of its proper divisors (9695668140).

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

4426774740 is a wasteful number, since it uses less digits than its factorization.

4426774740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The square root of 4426774740 is about 66534.0119036873. The cubic root of 4426774740 is about 1641.9596270814.

The spelling of 4426774740 in words is "four billion, four hundred twenty-six million, seven hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 243 270 284 324 355 405 426 486 540 639 710 810 852 972 1065 1215 1278 1420 1620 1917 2130 2430 2556 3195 3834 4260 4860 5751 6390 7668 9585 11502 12780 12829 17253 19170 23004 25658 28755 34506 38340 38487 51316 57510 64145 69012 76974 86265 115020 115461 128290 153948 172530 192435 230922 256580 345060 346383 384870 461844 577305 692766 769740 910859 1039149 1154610 1385532 1731915 1821718 2078298 2309220 2732577 3117447 3463830 3643436 4156596 4554295 5195745 5465154 6234894 6927660 8197731 9108590 10391490 10930308 12469788 13662885 15587235 16395462 18217180 20782980 24593193 27325770 31174470 32790924 40988655 49186386 54651540 62348940 73779579 81977310 98372772 122965965 147559158 163954620 221338737 245931930 295118316 368897895 442677474 491863860 737795790 885354948 1106693685 1475591580 2213387370 4426774740