Search a number
-
+
3047585376 = 253113172361
BaseRepresentation
bin1011010110100110…
…0111011001100000
321212101120101012110
42311221213121200
522220140213001
61222224155320
7135344022363
oct26551473140
97771511173
103047585376
111324312000
12710768b40
13397505874
1420ca720da
1512c8433d6
hexb5a67660

3047585376 has 384 divisors, whose sum is σ = 9881367552. Its totient is φ = 817766400.

The previous prime is 3047585371. The next prime is 3047585407. The reversal of 3047585376 is 6735857403.

3047585376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30475853762 = 18575553248018122752, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3047585371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49960386 + ... + 49960446.

It is an arithmetic number, because the mean of its divisors is an integer number (25732728).

Almost surely, 23047585376 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 3047585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940683776).

3047585376 is an abundant number, since it is smaller than the sum of its proper divisors (6833782176).

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

3047585376 is a wasteful number, since it uses less digits than its factorization.

3047585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 3047585376 is about 55204.9397789727. The cubic root of 3047585376 is about 1449.8351577966.

The spelling of 3047585376 in words is "three billion, forty-seven million, five hundred eighty-five thousand, three hundred seventy-six".