Search a number
-
+
5838488100 = 2236522832
BaseRepresentation
bin1010111000000000…
…00100001000100100
3120001220010221000000
411130000010020210
543424123104400
62403203021300
7264453221124
oct53400041044
916056127000
105838488100
112526746585
12116b36a830
137207990b3
143d55a8c84
15242882600
hex15c004224

5838488100 has 189 divisors, whose sum is σ = 19062948513. Its totient is φ = 1551428640.

The previous prime is 5838488083. The next prime is 5838488101. The reversal of 5838488100 is 18848385.

The square root of 5838488100 is 76410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2101855716 + 3736632384 = 45846^2 + 61128^2 .

It is a super-2 number, since 2×58384881002 = 68175886587683220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5838488101) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20630559 + ... + 20630841.

Almost surely, 25838488100 is an apocalyptic number.

5838488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5838488100 is the 76410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5838488100

5838488100 is an abundant number, since it is smaller than the sum of its proper divisors (13224460413).

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

5838488100 is an equidigital number, since it uses as much as digits as its factorization.

5838488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The cubic root of 5838488100 is about 1800.6672526216.

The spelling of 5838488100 in words is "five billion, eight hundred thirty-eight million, four hundred eighty-eight thousand, one hundred".