Search a number
-
+
4904621568 = 293271123601
BaseRepresentation
bin1001001000101011…
…01001011000000000
3110122210220120221200
410210111221120000
540021040342233
62130403021200
7232353411150
oct44425513000
913583816850
104904621568
112097592860
12b4a66a800
13602175852
14347554760
151da8b6313
hex124569600

4904621568 has 480 divisors, whose sum is σ = 18445819392. Its totient is φ = 1216512000.

The previous prime is 4904621551. The next prime is 4904621587. The reversal of 4904621568 is 8651264094.

4904621568 is a `hidden beast` number, since 49 + 0 + 46 + 2 + 1 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8160468 + ... + 8161068.

Almost surely, 24904621568 is an apocalyptic number.

4904621568 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 4904621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222909696).

4904621568 is an abundant number, since it is smaller than the sum of its proper divisors (13541197824).

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

4904621568 is a wasteful number, since it uses less digits than its factorization.

4904621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4904621568 is about 70033.0034198163. The cubic root of 4904621568 is about 1699.0330796697.

The spelling of 4904621568 in words is "four billion, nine hundred four million, six hundred twenty-one thousand, five hundred sixty-eight".