Search a number
-
+
4368198528 = 273273127409
BaseRepresentation
bin1000001000101110…
…10110101110000000
3102021102112110212200
410010113112232000
532421224323103
62001241353200
7213151034451
oct40427265600
912242473780
104368198528
111941809231
12a1aa98800
13547caa075
142d61db128
151a87560a3
hex1045d6b80

4368198528 has 192 divisors, whose sum is σ = 12873868800. Its totient is φ = 1421328384.

The previous prime is 4368198521. The next prime is 4368198551. The reversal of 4368198528 is 8258918634.

4368198528 is a `hidden beast` number, since 4 + 36 + 81 + 9 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4368198521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10679988 + ... + 10680396.

It is an arithmetic number, because the mean of its divisors is an integer number (67051400).

Almost surely, 24368198528 is an apocalyptic number.

4368198528 is a gapful number since it is divisible by the number (48) 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 4368198528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436934400).

4368198528 is an abundant number, since it is smaller than the sum of its proper divisors (8505670272).

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

4368198528 is a wasteful number, since it uses less digits than its factorization.

4368198528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4368198528 is about 66092.3484830128. The cubic root of 4368198528 is about 1634.6851701420.

The spelling of 4368198528 in words is "four billion, three hundred sixty-eight million, one hundred ninety-eight thousand, five hundred twenty-eight".