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4241661424 = 2471113264839
BaseRepresentation
bin1111110011010010…
…1001110111110000
3101221121102201121021
43330310221313300
532141331131144
61540521305224
7210053345560
oct37464516760
911847381537
104241661424
111887342010
129a4635214
13527a04840
142c349cda0
1519c5ad884
hexfcd29df0

4241661424 has 80 divisors (see below), whose sum is σ = 11034293760. Its totient is φ = 1525466880.

The previous prime is 4241661421. The next prime is 4241661503.

4241661424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4241661424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241661421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116404 + ... + 148435.

It is an arithmetic number, because the mean of its divisors is an integer number (137928672).

Almost surely, 24241661424 is an apocalyptic number.

4241661424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4241661424 is an abundant number, since it is smaller than the sum of its proper divisors (6792632336).

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

4241661424 is a wasteful number, since it uses less digits than its factorization.

4241661424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264878 (or 264872 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4241661424 is about 65128.0386930238. The cubic root of 4241661424 is about 1618.7458443387.

The spelling of 4241661424 in words is "four billion, two hundred forty-one million, six hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 264839 529678 1059356 1853873 2118712 2913229 3442907 3707746 4237424 5826458 6885814 7415492 11652916 13771628 14830984 20392603 23305832 24100349 27543256 29661968 37871977 40785206 46611664 48200698 55086512 75743954 81570412 96401396 151487908 163140824 192802792 265103839 302975816 326281648 385605584 530207678 605951632 1060415356 2120830712 4241661424