Search a number
-
+
5344802100 = 223252112323473
BaseRepresentation
bin1001111101001001…
…10011010100110100
3111210111012002010100
410332210303110310
541421232131400
62242205354100
7246310032261
oct47644632464
914714162110
105344802100
1122a3001a20
121051b68930
13672414bc1
14389bb8268
15214365100
hex13e933534

5344802100 has 216 divisors, whose sum is σ = 19071404352. Its totient is φ = 1239321600.

The previous prime is 5344802081. The next prime is 5344802137. The reversal of 5344802100 is 12084435.

5344802100 is a `hidden beast` number, since 5 + 3 + 448 + 0 + 210 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 215964 + ... + 239436.

Almost surely, 25344802100 is an apocalyptic number.

5344802100 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 5344802100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535702176).

5344802100 is an abundant number, since it is smaller than the sum of its proper divisors (13726602252).

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

5344802100 is a wasteful number, since it uses less digits than its factorization.

5344802100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23527 (or 23517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5344802100 is about 73108.1534440585. The cubic root of 5344802100 is about 1748.4123941678.

Adding to 5344802100 its reverse (12084435), we get a palindrome (5356886535).

The spelling of 5344802100 in words is "five billion, three hundred forty-four million, eight hundred two thousand, one hundred".