Search a number
-
+
5383283184 = 2432611394409
BaseRepresentation
bin1010000001101111…
…00110000111110000
3111220011121010020200
411000313212013300
542011110030214
62250102235200
7250255103106
oct50067460760
914804533220
105383283184
1123127a5374
121062a25b00
1367a399286
14390d53c76
15217916d09
hex140de61f0

5383283184 has 120 divisors (see below), whose sum is σ = 15426356400. Its totient is φ = 1751915520.

The previous prime is 5383283159. The next prime is 5383283197. The reversal of 5383283184 is 4813823835.

5383283184 is a `hidden beast` number, since 5 + 3 + 8 + 328 + 318 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218772 + ... + 1223180.

It is an arithmetic number, because the mean of its divisors is an integer number (128552970).

Almost surely, 25383283184 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 5383283184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713178200).

5383283184 is an abundant number, since it is smaller than the sum of its proper divisors (10043073216).

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

5383283184 is a wasteful number, since it uses less digits than its factorization.

5383283184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4614 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5383283184 is about 73370.8605919271. The cubic root of 5383283184 is about 1752.5983913317.

The spelling of 5383283184 in words is "five billion, three hundred eighty-three million, two hundred eighty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 139 144 183 244 278 366 417 488 549 556 732 834 976 1098 1112 1251 1464 1668 2196 2224 2502 2928 3336 4392 4409 5004 6672 8479 8784 8818 10008 13227 16958 17636 20016 25437 26454 33916 35272 39681 50874 52908 67832 70544 76311 79362 101748 105816 135664 152622 158724 203496 211632 268949 305244 317448 406992 537898 610488 612851 634896 806847 1075796 1220976 1225702 1613694 1838553 2151592 2420541 2451404 3227388 3677106 4303184 4841082 4902808 5515659 6454776 7354212 9682164 9805616 11031318 12909552 14708424 19364328 22062636 29416848 37383911 38728656 44125272 74767822 88250544 112151733 149535644 224303466 299071288 336455199 448606932 598142576 672910398 897213864 1345820796 1794427728 2691641592 5383283184