Search a number
-
+
5030431200 = 2532522337821
BaseRepresentation
bin1001010111101011…
…00100100111100000
3110222120122101022200
410223311210213200
540300242244300
62151055333200
7235441650114
oct45365444740
913876571280
105030431200
112151602463
12b84821200
13622254c12
1435a143744
151e6968200
hex12bd649e0

5030431200 has 432 divisors, whose sum is σ = 19033219296. Its totient is φ = 1246924800.

The previous prime is 5030431193. The next prime is 5030431213. The reversal of 5030431200 is 21340305.

5030431200 is a `hidden beast` number, since 5 + 0 + 30 + 431 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6126790 + ... + 6127610.

It is an arithmetic number, because the mean of its divisors is an integer number (44058378).

Almost surely, 25030431200 is an apocalyptic number.

5030431200 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 5030431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516609648).

5030431200 is an abundant number, since it is smaller than the sum of its proper divisors (14002788096).

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

5030431200 is a wasteful number, since it uses less digits than its factorization.

5030431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5030431200 is about 70925.5327791057. The cubic root of 5030431200 is about 1713.4380404382.

Adding to 5030431200 its reverse (21340305), we get a palindrome (5051771505).

The spelling of 5030431200 in words is "five billion, thirty million, four hundred thirty-one thousand, two hundred".