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424246284 = 2232711314937
BaseRepresentation
bin11001010010010…
…111110000001100
31002120021221111100
4121102113300030
51332101340114
6110033023100
713341014430
oct3122276014
91076257440
10424246284
111a8526570
12ba0b4a90
1369b80707
14404b69c0
15273a2909
hex19497c0c

424246284 has 144 divisors (see below), whose sum is σ = 1380427776. Its totient is φ = 106617600.

The previous prime is 424246279. The next prime is 424246297. The reversal of 424246284 is 482642424.

It is a happy number.

424246284 is a `hidden beast` number, since 4 + 2 + 4 + 24 + 628 + 4 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 83464 + ... + 88400.

It is an arithmetic number, because the mean of its divisors is an integer number (9586304).

Almost surely, 2424246284 is an apocalyptic number.

424246284 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 424246284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690213888).

424246284 is an abundant number, since it is smaller than the sum of its proper divisors (956181492).

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

424246284 is a wasteful number, since it uses less digits than its factorization.

424246284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4991 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 424246284 is about 20597.2397179816. The cubic root of 424246284 is about 751.4025807213.

The spelling of 424246284 in words is "four hundred twenty-four million, two hundred forty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 4937 6138 7161 7812 9548 9874 12276 14322 14811 19748 21483 28644 29622 34559 42966 44433 54307 59244 69118 85932 88866 103677 108614 138236 153047 162921 177732 207354 217228 306094 311031 325842 380149 414708 459141 488763 612188 622062 651684 760298 918282 977526 1071329 1140447 1244124 1377423 1520596 1683517 1836564 1955052 2142658 2280894 2754846 3213987 3367034 3421341 4285316 4561788 5050551 5509692 6427974 6734068 6842682 9641961 10101102 11784619 12855948 13685364 15151653 19283922 20202204 23569238 30303306 35353857 38567844 47138476 60606612 70707714 106061571 141415428 212123142 424246284