[go: up one dir, main page]

Search a number
-
+
3056427000 = 2333531141251
BaseRepresentation
bin1011011000101101…
…0101111111111000
321220000012120122000
42312023111333320
522224421131000
61223141501000
7135512125614
oct26613257770
97800176560
103056427000
111329300930
12713711760
133992b00b3
1420dcd4344
1512d4dd000
hexb62d5ff8

3056427000 has 512 divisors, whose sum is σ = 11887948800. Its totient is φ = 720000000.

The previous prime is 3056426987. The next prime is 3056427037. The reversal of 3056427000 is 7246503.

It is a happy number.

3056427000 is a `hidden beast` number, since 30 + 564 + 2 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12176875 + ... + 12177125.

It is an arithmetic number, because the mean of its divisors is an integer number (23218650).

Almost surely, 23056427000 is an apocalyptic number.

3056427000 is a gapful number since it is divisible by the number (30) 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 3056427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3056427000 is an abundant number, since it is smaller than the sum of its proper divisors (8831521800).

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

3056427000 is a wasteful number, since it uses less digits than its factorization.

3056427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3056427000 is about 55284.9617888988. The cubic root of 3056427000 is about 1451.2358864614.

The spelling of 3056427000 in words is "three billion, fifty-six million, four hundred twenty-seven thousand".