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4420823946 = 2371171307439
BaseRepresentation
bin1000001111000000…
…00110101110001010
3102102002120010101020
410013200012232022
533023212331241
62010401333310
7214360245360
oct40740065612
912362503336
104420823946
111969492510
12a34637236
13555b74476
142dd1b9630
151ad19db66
hex107806b8a

4420823946 has 128 divisors (see below), whose sum is σ = 11240570880. Its totient is φ = 1125835200.

The previous prime is 4420823941. The next prime is 4420823959. The reversal of 4420823946 is 6493280244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4420823898 and 4420823907.

It is not an unprimeable number, because it can be changed into a prime (4420823941) by changing a digit.

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, 10069995 + ... + 10070433.

It is an arithmetic number, because the mean of its divisors is an integer number (87816960).

Almost surely, 24420823946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4420823946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620285440).

4420823946 is an abundant number, since it is smaller than the sum of its proper divisors (6819746934).

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

4420823946 is a wasteful number, since it uses less digits than its factorization.

4420823946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4420823946 is about 66489.2769249298. The cubic root of 4420823946 is about 1641.2235497923.

The spelling of 4420823946 in words is "four billion, four hundred twenty million, eight hundred twenty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 307 426 439 462 497 614 781 878 921 994 1317 1491 1562 1842 2149 2343 2634 2982 3073 3377 4298 4686 4829 5467 6146 6447 6754 9219 9658 10131 10934 12894 14487 16401 18438 20262 21797 23639 28974 31169 32802 33803 43594 47278 62338 65391 67606 70917 93507 101409 130782 134773 141834 152579 187014 202818 218183 239767 269546 305158 342859 404319 436366 457737 479534 654549 685718 719301 808638 915474 943411 1028577 1309098 1438602 1482503 1678369 1886822 2057154 2400013 2830233 2965006 3356738 4447509 4800026 5035107 5660466 7200039 8895018 9568883 10070214 10377521 14400078 19137766 20755042 28706649 31132563 57413298 62265126 66982181 105257713 133964362 200946543 210515426 315773139 401893086 631546278 736803991 1473607982 2210411973 4420823946