Search a number
-
+
5031450900 = 223252717109431
BaseRepresentation
bin1001010111110010…
…11101100100010100
3110222122120012002100
410223321131210110
540301022412100
62151133242100
7235453425030
oct45371354424
913878505070
105031450900
112152139593
12b85033330
136225210a8
1435a32b1c0
151e6aba400
hex12be5d914

5031450900 has 432 divisors, whose sum is σ = 19303764480. Its totient is φ = 1069977600.

The previous prime is 5031450887. The next prime is 5031450901. The reversal of 5031450900 is 90541305.

It is a super-2 number, since 2×50314509002 = 50630996318221620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5031450901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11673685 + ... + 11674115.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 25031450900 is an apocalyptic number.

5031450900 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 5031450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

5031450900 is an abundant number, since it is smaller than the sum of its proper divisors (14272313580).

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

5031450900 is a wasteful number, since it uses less digits than its factorization.

5031450900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5031450900 is about 70932.7209403390. The cubic root of 5031450900 is about 1713.5538075005.

The spelling of 5031450900 in words is "five billion, thirty-one million, four hundred fifty thousand, nine hundred".