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657407041 is a prime number
BaseRepresentation
bin100111001011110…
…011110001000001
31200211000201220221
4213023303301001
52321244011131
6145122303041
722201603414
oct4713636101
91624021827
10657407041
113080a8705
121641b7a81
13a6278565
146344bb7b
153caac411
hex272f3c41

657407041 has 2 divisors, whose sum is σ = 657407042. Its totient is φ = 657407040.

The previous prime is 657407029. The next prime is 657407059. The reversal of 657407041 is 140704756.

It is a happy number.

657407041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630210816 + 27196225 = 25104^2 + 5215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-657407041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 657406988 and 657407006.

It is not a weakly prime, because it can be changed into another prime (657407021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328703520 + 328703521.

It is an arithmetic number, because the mean of its divisors is an integer number (328703521).

Almost surely, 2657407041 is an apocalyptic number.

It is an amenable number.

657407041 is a deficient number, since it is larger than the sum of its proper divisors (1).

657407041 is an equidigital number, since it uses as much as digits as its factorization.

657407041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 657407041 is about 25639.9500974553. The cubic root of 657407041 is about 869.5170795036.

The spelling of 657407041 in words is "six hundred fifty-seven million, four hundred seven thousand, forty-one".