Search a number
-
+
5724246144 = 273173199433
BaseRepresentation
bin1010101010011000…
…10001000010000000
3112202221011211111110
411111030101002000
543210401334034
62344002243320
7261565201161
oct52514210200
915687154443
105724246144
112478207941
121139056540
13702c09cc6
143c434b768
15237817de9
hex155311080

5724246144 has 128 divisors (see below), whose sum is σ = 15405264000. Its totient is φ = 1883160576.

The previous prime is 5724246127. The next prime is 5724246149. The reversal of 5724246144 is 4416424275.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5724246149) 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, 13219752 + ... + 13220184.

It is an arithmetic number, because the mean of its divisors is an integer number (120353625).

Almost surely, 25724246144 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 5724246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702632000).

5724246144 is an abundant number, since it is smaller than the sum of its proper divisors (9681017856).

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

5724246144 is a wasteful number, since it uses less digits than its factorization.

5724246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 5724246144 is about 75658.7479674360. The cubic root of 5724246144 is about 1788.8452279530.

The spelling of 5724246144 in words is "five billion, seven hundred twenty-four million, two hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 199 346 384 398 433 519 597 692 796 866 1038 1194 1299 1384 1592 1732 2076 2388 2598 2768 3184 3464 4152 4776 5196 5536 6368 6928 8304 9552 10392 11072 12736 13856 16608 19104 20784 22144 25472 27712 33216 34427 38208 41568 55424 66432 68854 74909 76416 83136 86167 103281 137708 149818 166272 172334 206562 224727 258501 275416 299636 344668 413124 449454 517002 550832 599272 689336 826248 898908 1034004 1101664 1198544 1378672 1652496 1797816 2068008 2203328 2397088 2757344 3304992 3595632 4136016 4406656 4794176 5514688 6609984 7191264 8272032 9588352 11029376 13219968 14382528 14906891 16544064 28765056 29813782 33088128 44720673 59627564 89441346 119255128 178882692 238510256 357765384 477020512 715530768 954041024 1431061536 1908082048 2862123072 5724246144