Search a number
-
+
272027808 = 253713223
BaseRepresentation
bin10000001101101…
…101000010100000
3200221212110000000
4100031231002200
51024114342213
642554300000
76512124663
oct2015550240
9627773000
10272027808
1112a609578
1277127600
1344485b00
14281b16da
1518d35c73
hex1036d0a0

272027808 has 288 divisors, whose sum is σ = 907562880. Its totient is φ = 80061696.

The previous prime is 272027797. The next prime is 272027809. The reversal of 272027808 is 808720272.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272027809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827285 + ... + 11827307.

It is an arithmetic number, because the mean of its divisors is an integer number (3151260).

Almost surely, 2272027808 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 272027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453781440).

272027808 is an abundant number, since it is smaller than the sum of its proper divisors (635535072).

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

272027808 is an equidigital number, since it uses as much as digits as its factorization.

272027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 272027808 is about 16493.2655347569. The cubic root of 272027808 is about 647.9444396808.

272027808 divided by its sum of digits (36) gives a triangular number (7556328 = T3887).

The spelling of 272027808 in words is "two hundred seventy-two million, twenty-seven thousand, eight hundred eight".