Search a number
-
+
609093408 = 2537111737131
BaseRepresentation
bin100100010011100…
…000011100100000
31120110010011002010
4210103200130200
52221411442113
6140234552520
721044131350
oct4423403440
91513104063
10609093408
112928a9990
1214bb98740
1399260901
145ac72b60
15387171c3
hex244e0720

609093408 has 384 divisors, whose sum is σ = 2184247296. Its totient is φ = 143769600.

The previous prime is 609093377. The next prime is 609093421. The reversal of 609093408 is 804390906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4649503 + ... + 4649633.

It is an arithmetic number, because the mean of its divisors is an integer number (5688144).

Almost surely, 2609093408 is an apocalyptic number.

609093408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092123648).

609093408 is an abundant number, since it is smaller than the sum of its proper divisors (1575153888).

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

609093408 is a wasteful number, since it uses less digits than its factorization.

609093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 609093408 is about 24679.8178275286. The cubic root of 609093408 is about 847.6722508195.

The spelling of 609093408 in words is "six hundred nine million, ninety-three thousand, four hundred eight".