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40100257 is a prime number
BaseRepresentation
bin1001100011111…
…0000110100001
32210110022012201
42120332012201
540231202012
63551253201
7664563241
oct230760641
983408181
1040100257
11206a9a0a
121151a201
138400382
14547bb21
1537c1857
hex263e1a1

40100257 has 2 divisors, whose sum is σ = 40100258. Its totient is φ = 40100256.

The previous prime is 40100239. The next prime is 40100261. The reversal of 40100257 is 75200104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21986721 + 18113536 = 4689^2 + 4256^2 .

It is a cyclic number.

It is not a de Polignac number, because 40100257 - 27 = 40100129 is a prime.

It is a super-2 number, since 2×401002572 = 3216061222932098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40100227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20050128 + 20050129.

It is an arithmetic number, because the mean of its divisors is an integer number (20050129).

Almost surely, 240100257 is an apocalyptic number.

It is an amenable number.

40100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100257 is an equidigital number, since it uses as much as digits as its factorization.

40100257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 40100257 is about 6332.4763718470. The cubic root of 40100257 is about 342.2806793790.

The spelling of 40100257 in words is "forty million, one hundred thousand, two hundred fifty-seven".