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514055808 = 27367787
BaseRepresentation
bin11110101000111…
…101111010000000
31022211021202000000
4132220331322000
52023044241213
6123002000000
715511254660
oct3650757200
91284252000
10514055808
11244197812
121241a6000
1382666a46
144c3b41a0
15301e2c73
hex1ea3de80

514055808 has 224 divisors, whose sum is σ = 1757019360. Its totient is φ = 146686464.

The previous prime is 514055807. The next prime is 514055869. The reversal of 514055808 is 808550415.

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

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

It is not an unprimeable number, because it can be changed into a prime (514055803) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652791 + ... + 653577.

Almost surely, 2514055808 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 514055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878509680).

514055808 is an abundant number, since it is smaller than the sum of its proper divisors (1242963552).

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

514055808 is an frugal number, since it uses more digits than its factorization.

514055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 514055808 is about 22672.7988567799. The cubic root of 514055808 is about 801.0693034342.

The spelling of 514055808 in words is "five hundred fourteen million, fifty-five thousand, eight hundred eight".