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42574329 = 3107103
BaseRepresentation
bin1010001001101…
…0000111111001
32222010000000000
42202122013321
541344334304
64120303213
71024606260
oct242320771
988100000
1042574329
11220397a6
1212311b09
138a88515
1459235d7
153b0e939
hex289a1f9

42574329 has 44 divisors (see below), whose sum is σ = 73692736. Its totient is φ = 24091992.

The previous prime is 42574327. The next prime is 42574333. The reversal of 42574329 is 92347524.

42574329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42574329 - 21 = 42574327 is a prime.

It is a Duffinian number.

Its product of digits (60480) is a multiple of the sum of its prime factors (140).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42574293 and 42574302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42574321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 413292 + ... + 413394.

Almost surely, 242574329 is an apocalyptic number.

It is an amenable number.

42574329 is a deficient number, since it is larger than the sum of its proper divisors (31118407).

42574329 is an frugal number, since it uses more digits than its factorization.

42574329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 42574329 is about 6524.9006888994. The cubic root of 42574329 is about 349.1799276378.

The spelling of 42574329 in words is "forty-two million, five hundred seventy-four thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 81 103 189 243 309 567 721 729 927 1701 2163 2187 2781 5103 6489 6561 8343 15309 19467 19683 25029 45927 58401 59049 75087 137781 175203 225261 413343 525609 675783 1576827 2027349 4730481 6082047 14191443 42574329