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2782042241 = 111021247711
BaseRepresentation
bin1010010111010010…
…1001100010000001
321011212220101111112
42211310221202001
521144200322431
61140020453105
7125640653216
oct24564514201
97155811445
102782042241
1111a8432570
1265784a195
133544b0554
141c56abb0d
1511438dc2b
hexa5d29881

2782042241 has 8 divisors (see below), whose sum is σ = 3037939968. Its totient is φ = 2526642000.

The previous prime is 2782042217. The next prime is 2782042279. The reversal of 2782042241 is 1422402872.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2782042241 - 26 = 2782042177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2782042198 and 2782042207.

It is not an unprimeable number, because it can be changed into a prime (2782045241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112625 + ... + 135086.

It is an arithmetic number, because the mean of its divisors is an integer number (379742496).

Almost surely, 22782042241 is an apocalyptic number.

It is an amenable number.

2782042241 is a deficient number, since it is larger than the sum of its proper divisors (255897727).

2782042241 is a wasteful number, since it uses less digits than its factorization.

2782042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248743.

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2782042241 is about 52745.0684045438. The cubic root of 2782042241 is about 1406.4400985454.

The spelling of 2782042241 in words is "two billion, seven hundred eighty-two million, forty-two thousand, two hundred forty-one".

Divisors: 1 11 1021 11231 247711 2724821 252912931 2782042241