Search a number
-
+
4902782976 = 211327133779
BaseRepresentation
bin1001001000011101…
…01000100000000000
3110122200110011212200
410210032220200000
540020103023401
62130255353200
7232331652630
oct44416504000
913580404780
104902782976
112096547463
12b49b22800
13601980a20
143471d66c0
151da651686
hex1243a8800

4902782976 has 576 divisors, whose sum is σ = 18125452800. Its totient is φ = 1242169344.

The previous prime is 4902782947. The next prime is 4902782977. The reversal of 4902782976 is 6792872094.

4902782976 is a `hidden beast` number, since 490 + 2 + 7 + 82 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902782977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62060505 + ... + 62060583.

It is an arithmetic number, because the mean of its divisors is an integer number (31467800).

Almost surely, 24902782976 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 4902782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062726400).

4902782976 is an abundant number, since it is smaller than the sum of its proper divisors (13222669824).

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

4902782976 is a wasteful number, since it uses less digits than its factorization.

4902782976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4902782976 is about 70019.8755782956. The cubic root of 4902782976 is about 1698.8207480277.

The spelling of 4902782976 in words is "four billion, nine hundred two million, seven hundred eighty-two thousand, nine hundred seventy-six".