Search a number
-
+
3841026816 = 283113071481
BaseRepresentation
bin1110010011110001…
…0110101100000000
3100220200120101020110
43210330112230000
530331300324231
61433050311320
7164120121624
oct34474265400
910820511213
103841026816
1116a1183330
128b2428540
13492a00443
142861b1184
15177322046
hexe4f16b00

3841026816 has 144 divisors (see below), whose sum is σ = 11195952768. Its totient is φ = 1159372800.

The previous prime is 3841026811. The next prime is 3841026851. The reversal of 3841026816 is 6186201483.

It is not an unprimeable number, because it can be changed into a prime (3841026811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592796 + ... + 2594276.

It is an arithmetic number, because the mean of its divisors is an integer number (77749672).

Almost surely, 23841026816 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 3841026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597976384).

3841026816 is an abundant number, since it is smaller than the sum of its proper divisors (7354925952).

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

3841026816 is a wasteful number, since it uses less digits than its factorization.

3841026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3841026816 is about 61976.0180715089. The cubic root of 3841026816 is about 1566.0866221093.

The spelling of 3841026816 in words is "three billion, eight hundred forty-one million, twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 307 352 384 528 614 704 768 921 1056 1228 1408 1481 1842 2112 2456 2816 2962 3377 3684 4224 4443 4912 5924 6754 7368 8448 8886 9824 10131 11848 13508 14736 16291 17772 19648 20262 23696 27016 29472 32582 35544 39296 40524 47392 48873 54032 58944 65164 71088 78592 81048 94784 97746 108064 117888 130328 142176 162096 189568 195492 216128 235776 260656 284352 324192 379136 390984 432256 454667 521312 568704 648384 781968 864512 909334 1042624 1137408 1296768 1364001 1563936 1818668 2085248 2593536 2728002 3127872 3637336 4170496 5001337 5456004 6255744 7274672 10002674 10912008 12511488 14549344 15004011 20005348 21824016 29098688 30008022 40010696 43648032 58197376 60016044 80021392 87296064 116394752 120032088 160042784 174592128 240064176 320085568 349184256 480128352 640171136 960256704 1280342272 1920513408 3841026816