Search a number
-
+
4767764401 = 29223812
BaseRepresentation
bin1000111000010111…
…00100111110110001
3110022021101112012201
410130023210332301
534231021430101
62105033423201
7226102220521
oct43413447661
913267345181
104767764401
112027307a64
12b1086ab01
135ac9c8b8a
143332cb681
151cd880e01
hex11c2e4fb1

4767764401 has 9 divisors (see below), whose sum is σ = 4939913953. Its totient is φ = 4601425360.

The previous prime is 4767764399. The next prime is 4767764429. The reversal of 4767764401 is 1044677674.

The square root of 4767764401 is 69049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2129914801 + 2637849600 = 46151^2 + 51360^2 .

It is not a de Polignac number, because 4767764401 - 21 = 4767764399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4767762401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2001231 + ... + 2003611.

Almost surely, 24767764401 is an apocalyptic number.

4767764401 is the 69049-th square number.

4767764401 is the 34525-th centered octagonal number.

It is an amenable number.

4767764401 is a deficient number, since it is larger than the sum of its proper divisors (172149552).

4767764401 is an frugal number, since it uses more digits than its factorization.

4767764401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The cubic root of 4767764401 is about 1683.0806571126.

The spelling of 4767764401 in words is "four billion, seven hundred sixty-seven million, seven hundred sixty-four thousand, four hundred one".

Divisors: 1 29 841 2381 69049 2002421 5669161 164405669 4767764401