Search a number
-
+
5776490160 = 243357616263
BaseRepresentation
bin1010110000100111…
…00011111010110000
3112220120111002211000
411120103203322300
543312240141120
62353110122000
7263101233120
oct53023437260
915816432730
105776490160
1124a4750611
121152650300
1371099c91c
143cb26ac80
1523c1d7990
hex1584e3eb0

5776490160 has 320 divisors, whose sum is σ = 23115663360. Its totient is φ = 1298488320.

The previous prime is 5776490149. The next prime is 5776490173. The reversal of 5776490160 is 610946775.

It is a happy number.

5776490160 is a `hidden beast` number, since 577 + 64 + 9 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 919189 + ... + 925451.

It is an arithmetic number, because the mean of its divisors is an integer number (72236448).

Almost surely, 25776490160 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 5776490160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557831680).

5776490160 is an abundant number, since it is smaller than the sum of its proper divisors (17339173200).

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

5776490160 is a wasteful number, since it uses less digits than its factorization.

5776490160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5776490160 is about 76003.2246684310. The cubic root of 5776490160 is about 1794.2708956592.

The spelling of 5776490160 in words is "five billion, seven hundred seventy-six million, four hundred ninety thousand, one hundred sixty".