Search a number
-
+
605245984 = 25731432027
BaseRepresentation
bin100100000100110…
…101001000100000
31120011212200101221
4210010311020200
52214420332414
6140020304424
720666335360
oct4404651040
91504780357
10605245984
112907112a2
1214a842114
1398514625
145a5509a0
1538207224
hex24135220

605245984 has 96 divisors (see below), whose sum is σ = 1439133696. Its totient is φ = 245064960.

The previous prime is 605245937. The next prime is 605245997. The reversal of 605245984 is 489542506.

It is a super-2 number, since 2×6052459842 = 732645402296256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 605245984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297579 + ... + 299605.

It is an arithmetic number, because the mean of its divisors is an integer number (14990976).

Almost surely, 2605245984 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 605245984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719566848).

605245984 is an abundant number, since it is smaller than the sum of its proper divisors (833887712).

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

605245984 is a wasteful number, since it uses less digits than its factorization.

605245984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 605245984 is about 24601.7475802025. The cubic root of 605245984 is about 845.8836659854.

The spelling of 605245984 in words is "six hundred five million, two hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 86 112 124 172 217 224 248 301 344 434 496 602 688 868 992 1204 1333 1376 1736 2027 2408 2666 3472 4054 4816 5332 6944 8108 9331 9632 10664 14189 16216 18662 21328 28378 32432 37324 42656 56756 62837 64864 74648 87161 113512 125674 149296 174322 227024 251348 298592 348644 439859 454048 502696 610127 697288 879718 1005392 1220254 1394576 1759436 2010784 2440508 2701991 2789152 3518872 4881016 5403982 7037744 9762032 10807964 14075488 18913937 19524064 21615928 37827874 43231856 75655748 86463712 151311496 302622992 605245984