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7720648 = 2313611217
BaseRepresentation
bin11101011100111011001000
3112112020201221
4131130323020
53434030043
6433251424
7122424115
oct35347310
915466657
107720648
1143a3701
122703b74
1317a4240
14104d90c
15a278ed
hex75cec8

7720648 has 32 divisors (see below), whose sum is σ = 15858360. Its totient is φ = 3502080.

The previous prime is 7720639. The next prime is 7720649. The reversal of 7720648 is 8460277.

It can be written as a sum of positive squares in 4 ways, for example, as 2439844 + 5280804 = 1562^2 + 2298^2 .

It is not an unprimeable number, because it can be changed into a prime (7720649) 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, 5736 + ... + 6952.

Almost surely, 27720648 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 7720648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929180).

7720648 is an abundant number, since it is smaller than the sum of its proper divisors (8137712).

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

7720648 is a wasteful number, since it uses less digits than its factorization.

7720648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 7720648 is about 2778.6054055947. The cubic root of 7720648 is about 197.6444320852.

The spelling of 7720648 in words is "seven million, seven hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1217 1586 2434 3172 4868 6344 9736 15821 31642 63284 74237 126568 148474 296948 593896 965081 1930162 3860324 7720648