Search a number
-
+
4429244646 = 2332915118731
BaseRepresentation
bin1000010000000000…
…01110100011100110
3102102200101221102000
410020000032203212
533032341312041
62011302030130
7214521646461
oct41000164346
912380357360
104429244646
111973214072
12a37418346
13557832228
1430036c2d8
151adcb3bb6
hex10800e8e6

4429244646 has 64 divisors (see below), whose sum is σ = 10250150400. Its totient is φ = 1415988000.

The previous prime is 4429244639. The next prime is 4429244653. The reversal of 4429244646 is 6464429244.

It is an interprime number because it is at equal distance from previous prime (4429244639) and next prime (4429244653).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227101 + ... + 245831.

It is an arithmetic number, because the mean of its divisors is an integer number (160158600).

Almost surely, 24429244646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429244646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125075200).

4429244646 is an abundant number, since it is smaller than the sum of its proper divisors (5820905754).

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

4429244646 is a wasteful number, since it uses less digits than its factorization.

4429244646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18916 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 4429244646 is about 66552.5705438941. The cubic root of 4429244646 is about 1642.2649458261.

The spelling of 4429244646 in words is "four billion, four hundred twenty-nine million, two hundred forty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 151 174 261 302 453 522 783 906 1359 1566 2718 4077 4379 8154 8758 13137 18731 26274 37462 39411 56193 78822 112386 118233 168579 236466 337158 505737 543199 1011474 1086398 1629597 2828381 3259194 4888791 5656762 8485143 9777582 14666373 16970286 25455429 29332746 50910858 76366287 82023049 152732574 164046098 246069147 492138294 738207441 1476414882 2214622323 4429244646