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42356205 = 325941249
BaseRepresentation
bin1010000110010…
…0110111101101
32221200220210100
42201210313231
541320344310
64111501313
71023010323
oct241446755
987626710
1042356205
11219aa931
1212227839
138a10158
1458a7d13
153ab9ec0
hex2864ded

42356205 has 12 divisors (see below), whose sum is σ = 73417500. Its totient is φ = 22589952.

The previous prime is 42356203. The next prime is 42356207. The reversal of 42356205 is 50265324.

42356205 is a `hidden beast` number, since 4 + 2 + 35 + 620 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42356203) and next prime (42356207).

It can be written as a sum of positive squares in 2 ways, for example, as 31505769 + 10850436 = 5613^2 + 3294^2 .

It is not a de Polignac number, because 42356205 - 21 = 42356203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42356203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470580 + ... + 470669.

It is an arithmetic number, because the mean of its divisors is an integer number (6118125).

Almost surely, 242356205 is an apocalyptic number.

42356205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42356205 is a deficient number, since it is larger than the sum of its proper divisors (31061295).

42356205 is a wasteful number, since it uses less digits than its factorization.

42356205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941260 (or 941257 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42356205 is about 6508.1644877799. The cubic root of 42356205 is about 348.5825804507.

It can be divided in two parts, 4235 and 6205, that added together give a triangular number (10440 = T144).

The spelling of 42356205 in words is "forty-two million, three hundred fifty-six thousand, two hundred five".

Divisors: 1 3 5 9 15 45 941249 2823747 4706245 8471241 14118735 42356205