Search a number
-
+
4753022976 = 21334131929
BaseRepresentation
bin1000110110100110…
…10110000000000000
3110021020122120210000
410123103112000000
534213233213401
62103345440000
7225533012562
oct43323260000
913236576700
104753022976
112019a59569
12b07940000
135a9937140
14331371332
151cc41d186
hex11b4d6000

4753022976 has 560 divisors, whose sum is σ = 16651681200. Its totient is φ = 1337720832.

The previous prime is 4753022959. The next prime is 4753022993. The reversal of 4753022976 is 6792203574.

4753022976 is a `hidden beast` number, since 4 + 7 + 530 + 22 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4753022959) and next prime (4753022993).

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 39 ways as a sum of consecutive naturals, for example, 163897330 + ... + 163897358.

It is an arithmetic number, because the mean of its divisors is an integer number (29735145).

Almost surely, 24753022976 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 4753022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325840600).

4753022976 is an abundant number, since it is smaller than the sum of its proper divisors (11898658224).

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

4753022976 is a wasteful number, since it uses less digits than its factorization.

4753022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4753022976 is about 68942.1712451820. The cubic root of 4753022976 is about 1681.3442302671.

The spelling of 4753022976 in words is "four billion, seven hundred fifty-three million, twenty-two thousand, nine hundred seventy-six".