Search a number
-
+
2741455488 = 27331412137
BaseRepresentation
bin1010001101100111…
…0100101010000000
321002001112100221110
42203121310222000
521103303033423
61132010523320
7124635662412
oct24331645200
97061470843
102741455488
1111875310a2
12646136540
13348c6c915
141c01449b2
15110a23193
hexa3674a80

2741455488 has 192 divisors, whose sum is σ = 7760943360. Its totient is φ = 856473600.

The previous prime is 2741455487. The next prime is 2741455511. The reversal of 2741455488 is 8845541472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2741455487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20010556 + ... + 20010692.

It is an arithmetic number, because the mean of its divisors is an integer number (40421580).

Almost surely, 22741455488 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 2741455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880471680).

2741455488 is an abundant number, since it is smaller than the sum of its proper divisors (5019487872).

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

2741455488 is a wasteful number, since it uses less digits than its factorization.

2741455488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 214 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 48.

The square root of 2741455488 is about 52358.9103018770. The cubic root of 2741455488 is about 1399.5671260350.

The spelling of 2741455488 in words is "two billion, seven hundred forty-one million, four hundred fifty-five thousand, four hundred eighty-eight".