Search a number
-
+
5761063440 = 243551129929
BaseRepresentation
bin1010101110110001…
…01101101000010000
3112212111110100100000
411113120231220100
543244313012230
62351355330000
7262523142216
oct52730555020
915774410300
105761063440
112496a74260
121149450900
1370a72aca2
143c91b2cb6
1523ab8bb60
hex15762da10

5761063440 has 480 divisors, whose sum is σ = 22667299200. Its totient is φ = 1347010560.

The previous prime is 5761063439. The next prime is 5761063471. The reversal of 5761063440 is 443601675.

It is a happy number.

5761063440 is a `hidden beast` number, since 5 + 7 + 6 + 10 + 634 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5761063395 and 5761063404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6200896 + ... + 6201824.

It is an arithmetic number, because the mean of its divisors is an integer number (47223540).

Almost surely, 25761063440 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 5761063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333649600).

5761063440 is an abundant number, since it is smaller than the sum of its proper divisors (16906235760).

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

5761063440 is a wasteful number, since it uses less digits than its factorization.

5761063440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5761063440 is about 75901.6695468552. The cubic root of 5761063440 is about 1792.6722090813.

The spelling of 5761063440 in words is "five billion, seven hundred sixty-one million, sixty-three thousand, four hundred forty".