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4391317728 = 2532710612053
BaseRepresentation
bin1000001011011111…
…00011000011100000
3102100001001001110100
410011233203003200
532443134131403
62003425102400
7213551404410
oct40557430340
912301031410
104391317728
11195386a006
12a26787a00
1354ca13175
142d92d8640
151aa7c12a3
hex105be30e0

4391317728 has 144 divisors (see below), whose sum is σ = 14292192096. Its totient is φ = 1252869120.

The previous prime is 4391317727. The next prime is 4391317739. The reversal of 4391317728 is 8277131934.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4391317727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2137950 + ... + 2140002.

It is an arithmetic number, because the mean of its divisors is an integer number (99251334).

Almost surely, 24391317728 is an apocalyptic number.

4391317728 is a gapful number since it is divisible by the number (48) 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 4391317728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146096048).

4391317728 is an abundant number, since it is smaller than the sum of its proper divisors (9900874368).

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

4391317728 is a wasteful number, since it uses less digits than its factorization.

4391317728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3126 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 4391317728 is about 66267.0184028224. The cubic root of 4391317728 is about 1637.5640178379.

The spelling of 4391317728 in words is "four billion, three hundred ninety-one million, three hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1061 2016 2053 2122 3183 4106 4244 6159 6366 7427 8212 8488 9549 12318 12732 14371 14854 16424 16976 18477 19098 22281 24636 25464 28742 29708 32848 33952 36954 38196 43113 44562 49272 50928 57484 59416 65696 66843 73908 76392 86226 89124 98544 101856 114968 118832 129339 133686 147816 152784 172452 178248 197088 229936 237664 258678 267372 295632 305568 344904 356496 459872 517356 534744 591264 689808 712992 1034712 1069488 1379616 2069424 2138976 2178233 4138848 4356466 6534699 8712932 13069398 15247631 17425864 19604097 26138796 30495262 34851728 39208194 45742893 52277592 60990524 69703456 78416388 91485786 104555184 121981048 137228679 156832776 182971572 209110368 243962096 274457358 313665552 365943144 487924192 548914716 627331104 731886288 1097829432 1463772576 2195658864 4391317728