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42302137 = 1737109617
BaseRepresentation
bin1010000101011…
…1101010111001
32221121011121211
42201113222321
541312132022
64110403121
71022363563
oct241275271
987534554
1042302137
1121973249
12122004a1
1389c1667
145892333
153aa8e77
hex2857ab9

42302137 has 16 divisors (see below), whose sum is σ = 46498320. Its totient is φ = 38320128.

The previous prime is 42302101. The next prime is 42302147. The reversal of 42302137 is 73120324.

It can be written as a sum of positive squares in 8 ways, for example, as 1201216 + 41100921 = 1096^2 + 6411^2 .

It is a cyclic number.

It is not a de Polignac number, because 42302137 - 219 = 41777849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42302147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68253 + ... + 68869.

It is an arithmetic number, because the mean of its divisors is an integer number (2906145).

Almost surely, 242302137 is an apocalyptic number.

It is an amenable number.

42302137 is a deficient number, since it is larger than the sum of its proper divisors (4196183).

42302137 is a wasteful number, since it uses less digits than its factorization.

42302137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42302137 is about 6504.0093019614. The cubic root of 42302137 is about 348.4341945714.

The spelling of 42302137 in words is "forty-two million, three hundred two thousand, one hundred thirty-seven".

Divisors: 1 17 37 109 617 629 1853 4033 10489 22829 67253 68561 388093 1143301 2488361 42302137