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5032350400 = 265271140847
BaseRepresentation
bin1001010111111001…
…11001001011000000
3110222201020212222011
410223330321023000
540301240203100
62151204422304
7235464162340
oct45374711300
913881225864
105032350400
1121526a3380
12b853a7994
1362277763c
1435a4c2d20
151e6be6bba
hex12bf392c0

5032350400 has 168 divisors, whose sum is σ = 15438583296. Its totient is φ = 1568486400.

The previous prime is 5032350391. The next prime is 5032350451. The reversal of 5032350400 is 40532305.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102777 + ... + 143623.

Almost surely, 25032350400 is an apocalyptic number.

5032350400 is a gapful number since it is divisible by the number (50) 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 5032350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719291648).

5032350400 is an abundant number, since it is smaller than the sum of its proper divisors (10406232896).

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

5032350400 is a wasteful number, since it uses less digits than its factorization.

5032350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40887 (or 40872 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 5032350400 is about 70939.0611722484. The cubic root of 5032350400 is about 1713.6559152118.

Adding to 5032350400 its reverse (40532305), we get a palindrome (5072882705).

The spelling of 5032350400 in words is "five billion, thirty-two million, three hundred fifty thousand, four hundred".