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4043689728 = 28313439419
BaseRepresentation
bin1111000100000101…
…1100111100000000
3101102210220201111020
43301001130330000
531240141032403
61505130145440
7202130536611
oct36101347400
911383821436
104043689728
111795614a41
1294a282280
134c59aa820
142a5087c08
1518a005453
hexf105cf00

4043689728 has 144 divisors (see below), whose sum is σ = 11860759680. Its totient is φ = 1215148032.

The previous prime is 4043689711. The next prime is 4043689729. The reversal of 4043689728 is 8279863404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043689729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424603 + ... + 434021.

Almost surely, 24043689728 is an apocalyptic number.

4043689728 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 4043689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930379840).

4043689728 is an abundant number, since it is smaller than the sum of its proper divisors (7817069952).

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

4043689728 is a wasteful number, since it uses less digits than its factorization.

4043689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 4043689728 is about 63590.0128007535. The cubic root of 4043689728 is about 1593.1595636118.

The spelling of 4043689728 in words is "four billion, forty-three million, six hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 516 559 624 688 768 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3328 3354 4128 4472 4992 5504 6708 8256 8944 9419 9984 11008 13416 16512 17888 18838 26832 28257 33024 35776 37676 53664 56514 71552 75352 107328 113028 122447 143104 150704 214656 226056 244894 301408 367341 405017 429312 452112 489788 602816 734682 810034 904224 979576 1205632 1215051 1469364 1620068 1808448 1959152 2411264 2430102 2938728 3240136 3616896 3918304 4860204 5265221 5877456 6480272 7233792 7836608 9720408 10530442 11754912 12960544 15673216 15795663 19440816 21060884 23509824 25921088 31346432 31591326 38881632 42121768 47019648 51842176 63182652 77763264 84243536 94039296 103684352 126365304 155526528 168487072 252730608 311053056 336974144 505461216 673948288 1010922432 1347896576 2021844864 4043689728