Search a number
-
+
4131606528 = 212357593
BaseRepresentation
bin1111011001000011…
…0101000000000000
3101122221100100200000
43312100311000000
531430142402103
61521550400000
7204246035040
oct36620650000
911587310600
104131606528
111830203155
12973800000
1350ac804ba
142b2a11720
15192abeaa3
hexf6435000

4131606528 has 312 divisors, whose sum is σ = 14168202048. Its totient is φ = 1178468352.

The previous prime is 4131606527. The next prime is 4131606533. The reversal of 4131606528 is 8256061314.

It is a happy number.

4131606528 is a `hidden beast` number, since 41 + 3 + 1 + 606 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4131606492 and 4131606501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131606527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967000 + ... + 6967592.

It is an arithmetic number, because the mean of its divisors is an integer number (45410904).

Almost surely, 24131606528 is an apocalyptic number.

4131606528 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 4131606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084101024).

4131606528 is an abundant number, since it is smaller than the sum of its proper divisors (10036595520).

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

4131606528 is an frugal number, since it uses more digits than its factorization.

4131606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4131606528 is about 64277.5740674771. The cubic root of 4131606528 is about 1604.6228968181.

The spelling of 4131606528 in words is "four billion, one hundred thirty-one million, six hundred six thousand, five hundred twenty-eight".