Search a number
-
+
4262880636 = 2234722947197
BaseRepresentation
bin1111111000010110…
…0110010101111100
3102000002100202220000
43332011212111330
532212244140021
61543000154300
7210431613300
oct37605462574
912002322800
104262880636
111898315353
129ab768990
1352c223ba1
142c6223d00
1519e3a0b26
hexfe16657c

4262880636 has 360 divisors, whose sum is σ = 13765308480. Its totient is φ = 1145104128.

The previous prime is 4262880533. The next prime is 4262880647. The reversal of 4262880636 is 6360882624.

4262880636 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 8 + 8 + 0 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4262880591 and 4262880600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21638890 + ... + 21639086.

It is an arithmetic number, because the mean of its divisors is an integer number (38236968).

Almost surely, 24262880636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4262880636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882654240).

4262880636 is an abundant number, since it is smaller than the sum of its proper divisors (9502427844).

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

4262880636 is a wasteful number, since it uses less digits than its factorization.

4262880636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4262880636 is about 65290.7392820758. The cubic root of 4262880636 is about 1621.4406526161.

The spelling of 4262880636 in words is "four billion, two hundred sixty-two million, eight hundred eighty thousand, six hundred thirty-six".