Search a number
-
+
5408351820 = 22325415912421
BaseRepresentation
bin1010000100101110…
…01110011001001100
3111221220202201221200
411002113032121030
542034014224240
62252355425500
7251011142364
oct50227163114
914856681850
105408351820
112325967853
12106b2b5290
136826357a1
143943db9a4
15219c19930
hex1425ce64c

5408351820 has 144 divisors (see below), whose sum is σ = 17091678240. Its totient is φ = 1383091200.

The previous prime is 5408351801. The next prime is 5408351821. The reversal of 5408351820 is 281538045.

It is a happy number.

5408351820 is a `hidden beast` number, since 5 + 40 + 83 + 518 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5408351821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429210 + ... + 441630.

It is an arithmetic number, because the mean of its divisors is an integer number (118692210).

Almost surely, 25408351820 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 5408351820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545839120).

5408351820 is an abundant number, since it is smaller than the sum of its proper divisors (11683326420).

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

5408351820 is a wasteful number, since it uses less digits than its factorization.

5408351820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5408351820 is about 73541.4972651496. The cubic root of 5408351820 is about 1755.3146536903.

Adding to 5408351820 its reverse (281538045), we get a palindrome (5689889865).

The spelling of 5408351820 in words is "five billion, four hundred eight million, three hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 59 60 82 90 118 123 164 177 180 205 236 246 295 354 369 410 492 531 590 615 708 738 820 885 1062 1180 1230 1476 1770 1845 2124 2419 2460 2655 3540 3690 4838 5310 7257 7380 9676 10620 12095 12421 14514 21771 24190 24842 29028 36285 37263 43542 48380 49684 62105 72570 74526 87084 108855 111789 124210 145140 149052 186315 217710 223578 248420 372630 435420 447156 509261 558945 732839 745260 1018522 1117890 1465678 1527783 2037044 2198517 2235780 2546305 2931356 3055566 3664195 4397034 4583349 5092610 6111132 6595551 7328390 7638915 8794068 9166698 10185220 10992585 13191102 14656780 15277830 18333396 21985170 22916745 26382204 30046399 30555660 32977755 43970340 45833490 60092798 65955510 90139197 91666980 120185596 131911020 150231995 180278394 270417591 300463990 360556788 450695985 540835182 600927980 901391970 1081670364 1352087955 1802783940 2704175910 5408351820