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424279856 = 247111359449
BaseRepresentation
bin11001010010011…
…111111100110000
31002120100122112202
4121102133330300
51332103423411
6110033442332
713341214340
oct3122377460
91076318482
10424279856
111a8549810
12ba1103a8
1369b92a90
14404c4d20
15273ac83b
hex1949ff30

424279856 has 160 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 149667840.

The previous prime is 424279811. The next prime is 424279859. The reversal of 424279856 is 658972424.

It is a self number, because there is not a number n which added to its sum of digits gives 424279856.

It is not an unprimeable number, because it can be changed into a prime (424279859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944720 + ... + 945168.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2424279856 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 424279856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

424279856 is an abundant number, since it is smaller than the sum of its proper divisors (700648144).

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

424279856 is a wasteful number, since it uses less digits than its factorization.

424279856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 424279856 is about 20598.0546654290. The cubic root of 424279856 is about 751.4224005155.

The spelling of 424279856 in words is "four hundred twenty-four million, two hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 59 77 88 91 104 112 118 143 154 176 182 208 236 286 308 364 413 449 472 572 616 649 728 767 826 898 944 1001 1144 1232 1298 1456 1534 1652 1796 2002 2288 2596 3068 3143 3304 3592 4004 4543 4939 5192 5369 5837 6136 6286 6608 7184 8008 8437 9086 9878 10384 10738 11674 12272 12572 16016 16874 18172 19756 21476 23348 25144 26491 33748 34573 36344 39512 40859 42952 46696 50288 52982 59059 64207 67496 69146 72688 79024 81718 85904 93392 105964 118118 128414 134992 138292 163436 185437 211928 236236 256828 276584 291401 326872 344383 370874 423856 449449 472472 513656 553168 582802 653744 688766 741748 898898 944944 1027312 1165604 1377532 1483496 1797796 2039807 2331208 2410681 2755064 2966992 3595592 3788213 4079614 4662416 4821362 5510128 7191184 7576426 8159228 9642724 15152852 16318456 19285448 26517491 30305704 32636912 38570896 53034982 60611408 106069964 212139928 424279856