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42248241 = 327295801
BaseRepresentation
bin1010000100101…
…0100000110001
32221111102200200
42201022200301
541303420431
64105305413
71022050500
oct241124061
987442620
1042248241
1121936802
1212195269
1389a2c79
14587a837
153a97ee6
hex284a831

42248241 has 18 divisors (see below), whose sum is σ = 70989282. Its totient is φ = 24141600.

The previous prime is 42248233. The next prime is 42248249. The reversal of 42248241 is 14284224.

It is an interprime number because it is at equal distance from previous prime (42248233) and next prime (42248249).

It can be written as a sum of positive squares in only one way, i.e., 39425841 + 2822400 = 6279^2 + 1680^2 .

It is not a de Polignac number, because 42248241 - 23 = 42248233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42248249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47460 + ... + 48341.

It is an arithmetic number, because the mean of its divisors is an integer number (3943849).

Almost surely, 242248241 is an apocalyptic number.

It is an amenable number.

42248241 is a deficient number, since it is larger than the sum of its proper divisors (28741041).

42248241 is a wasteful number, since it uses less digits than its factorization.

42248241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95821 (or 95811 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 42248241 is about 6499.8646908993. The cubic root of 42248241 is about 348.2861548450.

The spelling of 42248241 in words is "forty-two million, two hundred forty-eight thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 95801 287403 670607 862209 2011821 4694249 6035463 14082747 42248241