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4427117244 = 223211711011559
BaseRepresentation
bin1000001111110000…
…00111001010111100
3102102112101212011100
410013320013022330
533031320222434
62011144253100
7214464606234
oct40770071274
912375355140
104427117244
111971aa0790
12a36771190
13557268b04
142ddd76cc4
151ad9e3699
hex107e072bc

4427117244 has 144 divisors (see below), whose sum is σ = 12510650880. Its totient is φ = 1308720000.

The previous prime is 4427117197. The next prime is 4427117291.

4427117244 is a `hidden beast` number, since 442 + 7 + 1 + 172 + 44 = 666.

4427117244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4427117197) and next prime (4427117291).

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

It is a junction number, because it is equal to n+sod(n) for n = 4427117199 and 4427117208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838937 + ... + 2840495.

It is an arithmetic number, because the mean of its divisors is an integer number (86879520).

Almost surely, 24427117244 is an apocalyptic number.

4427117244 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 4427117244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255325440).

4427117244 is an abundant number, since it is smaller than the sum of its proper divisors (8083533636).

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

4427117244 is a wasteful number, since it uses less digits than its factorization.

4427117244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1747 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4427117244 is about 66536.5857555075. The cubic root of 4427117244 is about 1642.0019726768.

The spelling of 4427117244 in words is "four billion, four hundred twenty-seven million, one hundred seventeen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 101 132 142 198 202 213 284 303 396 404 426 606 639 781 852 909 1111 1212 1278 1559 1562 1818 2222 2343 2556 3118 3124 3333 3636 4444 4677 4686 6236 6666 7029 7171 9354 9372 9999 13332 14031 14058 14342 17149 18708 19998 21513 28062 28116 28684 34298 39996 43026 51447 56124 64539 68596 78881 86052 102894 110689 129078 154341 157459 157762 205788 221378 236643 258156 308682 314918 315524 332067 442756 472377 473286 617364 629836 664134 709929 944754 946572 996201 1217579 1328268 1417131 1419858 1732049 1889508 1992402 2435158 2834262 2839716 3464098 3652737 3984804 4870316 5196147 5668524 6928196 7305474 10392294 10958211 11179589 14610948 15588441 20784588 21916422 22359178 31176882 33538767 43832844 44718356 62353764 67077534 100616301 122975479 134155068 201232602 245950958 368926437 402465204 491901916 737852874 1106779311 1475705748 2213558622 4427117244