Search a number
-
+
5442003072 = 273211239041
BaseRepresentation
bin1010001000101111…
…00110000010000000
3112001021002101210100
411010113212002000
542121123044242
62300001002400
7251600156112
oct50427460200
915037071710
105442003072
112342961500
12107a623400
136895b867c
14398a7b3b2
1521cb6554c
hex1445e6080

5442003072 has 144 divisors (see below), whose sum is σ = 17213422590. Its totient is φ = 1649049600.

The previous prime is 5442003019. The next prime is 5442003089. The reversal of 5442003072 is 2703002445.

5442003072 is a `hidden beast` number, since 544 + 20 + 0 + 30 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3404022336 + 2037980736 = 58344^2 + 45144^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 119872 + ... + 158912.

Almost surely, 25442003072 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 5442003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606711295).

5442003072 is an abundant number, since it is smaller than the sum of its proper divisors (11771419518).

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

5442003072 is a wasteful number, since it uses less digits than its factorization.

5442003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39083 (or 39057 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5442003072 is about 73769.9333875258. The cubic root of 5442003072 is about 1758.9477042961.

The spelling of 5442003072 in words is "five billion, four hundred forty-two million, three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 39041 46464 69696 78082 117123 139392 156164 234246 312328 351369 429451 468492 624656 702738 858902 936984 1249312 1288353 1405476 1717804 1873968 2498624 2576706 2810952 3435608 3747936 3865059 4723961 4997248 5153412 5621904 6871216 7495872 7730118 9447922 10306824 11243808 13742432 14171883 14991744 15460236 18895844 20613648 22487616 27484864 28343766 30920472 37791688 41227296 42515649 44975232 54969728 56687532 61840944 75583376 82454592 85031298 113375064 123681888 151166752 164909184 170062596 226750128 247363776 302333504 340125192 453500256 494727552 604667008 680250384 907000512 1360500768 1814001024 2721001536 5442003072