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2287957 = 7253881
BaseRepresentation
bin1000101110100101010101
311022020111011
420232211111
51041203312
6121012221
725306300
oct10564525
94266434
102287957
111322a81
12924071
13621529
14437b37
15302da7
hex22e955

2287957 has 12 divisors (see below), whose sum is σ = 2714796. Its totient is φ = 1921920.

The previous prime is 2287951. The next prime is 2287963. The reversal of 2287957 is 7597822.

2287957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2287951) and next prime (2287963).

It can be written as a sum of positive squares in 2 ways, for example, as 1002001 + 1285956 = 1001^2 + 1134^2 .

It is a de Polignac number, because none of the positive numbers 2k-2287957 is a prime.

2287957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2157 + ... + 3037.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

22287957 is an apocalyptic number.

It is an amenable number.

2287957 is a deficient number, since it is larger than the sum of its proper divisors (426839).

2287957 is an equidigital number, since it uses as much as digits as its factorization.

2287957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 941 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 2287957 is about 1512.5994182202. The cubic root of 2287957 is about 131.7698199991.

The spelling of 2287957 in words is "two million, two hundred eighty-seven thousand, nine hundred fifty-seven".

Divisors: 1 7 49 53 371 881 2597 6167 43169 46693 326851 2287957