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4257888757 is a prime number
BaseRepresentation
bin1111110111001010…
…0011100111110101
3101222201222011022121
43331302203213311
532210004420012
61542301155541
7210341312563
oct37562434765
911881864277
104257888757
111895515931
129a9b5bbb1
1352b196a05
142c56c4a33
1519dc16a07
hexfdca39f5

4257888757 has 2 divisors, whose sum is σ = 4257888758. Its totient is φ = 4257888756.

The previous prime is 4257888751. The next prime is 4257888763. The reversal of 4257888757 is 7578887524.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (4257888751) and next prime (4257888763).

It can be written as a sum of positive squares in only one way, i.e., 4257040516 + 848241 = 65246^2 + 921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4257888757 is a prime.

It is the 65253-rd Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 4257888695 and 4257888704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4257888751) by changing a digit.

It is a nontrivial repunit in base 65252.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2128944378 + 2128944379.

It is an arithmetic number, because the mean of its divisors is an integer number (2128944379).

Almost surely, 24257888757 is an apocalyptic number.

It is an amenable number.

4257888757 is a deficient number, since it is larger than the sum of its proper divisors (1).

4257888757 is an equidigital number, since it uses as much as digits as its factorization.

4257888757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35123200, while the sum is 61.

The square root of 4257888757 is about 65252.5000057469. The cubic root of 4257888757 is about 1620.8074972694.

The spelling of 4257888757 in words is "four billion, two hundred fifty-seven million, eight hundred eighty-eight thousand, seven hundred fifty-seven".