Search a number
-
+
5708096576 = 267132343991
BaseRepresentation
bin1010101000011101…
…01010010001000000
3112201210210100110022
411110032222101000
543142233042301
62342224153012
7261311006660
oct52416522100
915653710408
105708096576
11246a087496
121133768768
136cc774350
143c21461a0
152361c7d1b
hex1543aa440

5708096576 has 224 divisors, whose sum is σ = 14900379648. Its totient is φ = 2107607040.

The previous prime is 5708096521. The next prime is 5708096587. The reversal of 5708096576 is 6756908075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5759441 + ... + 5760431.

It is an arithmetic number, because the mean of its divisors is an integer number (66519552).

Almost surely, 25708096576 is an apocalyptic number.

5708096576 is a gapful number since it is divisible by the number (56) 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 5708096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450189824).

5708096576 is an abundant number, since it is smaller than the sum of its proper divisors (9192283072).

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

5708096576 is a wasteful number, since it uses less digits than its factorization.

5708096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The square root of 5708096576 is about 75551.9462092142. The cubic root of 5708096576 is about 1787.1613795522.

The spelling of 5708096576 in words is "five billion, seven hundred eight million, ninety-six thousand, five hundred seventy-six".