Search a number
-
+
3055504000 = 2753192232
BaseRepresentation
bin1011011000011111…
…0100101010000000
321212221110200111211
42312013310222000
522224202112000
61223110015504
7135501232633
oct26607645200
97787420454
103055504000
11132883041a
12713347594
13399048c43
1420db33c1a
1512d3a97ba
hexb61f4a80

3055504000 has 288 divisors, whose sum is σ = 8381367540. Its totient is φ = 1107532800.

The previous prime is 3055503953. The next prime is 3055504009. The reversal of 3055504000 is 4055503.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2065520704 + 989983296 = 45448^2 + 31464^2 .

It is a super-2 number, since 2×30555040002 = 18672209388032000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3055504009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132847989 + ... + 132848011.

Almost surely, 23055504000 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 3055504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190683770).

3055504000 is an abundant number, since it is smaller than the sum of its proper divisors (5325863540).

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

3055504000 is an equidigital number, since it uses as much as digits as its factorization.

3055504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 3055504000 is about 55276.6134997433. The cubic root of 3055504000 is about 1451.0897871564.

Adding to 3055504000 its reverse (4055503), we get a palindrome (3059559503).

The spelling of 3055504000 in words is "three billion, fifty-five million, five hundred four thousand".