Search a number
-
+
4940779761 = 35831991231
BaseRepresentation
bin1001001100111111…
…00101000011110001
3110202022221121200000
410212133211003301
540104314423021
62134134020213
7233302635501
oct44637450361
913668847600
104940779761
112105a39a65
12b5a7a7669
136097c5828
1434c287a01
151ddb59b26
hex1267e50f1

4940779761 has 48 divisors (see below), whose sum is σ = 7533926400. Its totient is φ = 3235185360.

The previous prime is 4940779757. The next prime is 4940779771. The reversal of 4940779761 is 1679770494.

4940779761 is a `hidden beast` number, since 494 + 0 + 7 + 7 + 97 + 61 = 666.

It is not a de Polignac number, because 4940779761 - 22 = 4940779757 is a prime.

It is a super-2 number, since 2×49407797612 = 48822609293414434242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4940779698 and 4940779707.

It is not an unprimeable number, because it can be changed into a prime (4940779771) 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 47 ways as a sum of consecutive naturals, for example, 4013016 + ... + 4014246.

It is an arithmetic number, because the mean of its divisors is an integer number (156956800).

Almost surely, 24940779761 is an apocalyptic number.

It is an amenable number.

4940779761 is a deficient number, since it is larger than the sum of its proper divisors (2593146639).

4940779761 is a wasteful number, since it uses less digits than its factorization.

4940779761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 4940779761 is about 70290.6804704578. The cubic root of 4940779761 is about 1703.1981045145.

The spelling of 4940779761 in words is "four billion, nine hundred forty million, seven hundred seventy-nine thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 83 199 243 249 597 747 1231 1791 2241 3693 5373 6723 11079 16119 16517 20169 33237 48357 49551 99711 102173 148653 244969 299133 306519 445959 734907 919557 1337877 2204721 2758671 4013631 6614163 8276013 19842489 20332427 24828039 59527467 60997281 182991843 548975529 1646926587 4940779761