Search a number
-
+
616160896 = 27133491061
BaseRepresentation
bin100100101110011…
…101111010000000
31120221102012211221
4210232131322000
52230214122041
6141050244424
721161165311
oct4456357200
91527365757
10616160896
1129689688a
12152426714
139a866760
145bb92608
15391612d1
hex24b9de80

616160896 has 64 divisors (see below), whose sum is σ = 1326969000. Its totient is φ = 283299840.

The previous prime is 616160879. The next prime is 616160917. The reversal of 616160896 is 698061616.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 529000000 + 87160896 = 23000^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580206 + ... + 581266.

Almost surely, 2616160896 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 616160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663484500).

616160896 is an abundant number, since it is smaller than the sum of its proper divisors (710808104).

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

616160896 is a wasteful number, since it uses less digits than its factorization.

616160896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 616160896 is about 24822.5884226444. The cubic root of 616160896 is about 850.9382470081.

The spelling of 616160896 in words is "six hundred sixteen million, one hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 349 416 698 832 1061 1396 1664 2122 2792 4244 4537 5584 8488 9074 11168 13793 16976 18148 22336 27586 33952 36296 44672 55172 67904 72592 110344 135808 145184 220688 290368 370289 441376 580736 740578 882752 1481156 1765504 2962312 4813757 5924624 9627514 11849248 19255028 23698496 38510056 47396992 77020112 154040224 308080448 616160896