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42667031 = 1137791327
BaseRepresentation
bin1010001011000…
…0110000010111
32222021201011102
42202300300113
541410321111
64122300315
71025443451
oct242606027
988251142
1042667031
11220a2410
121235769b
138abb784
1459492d1
153b2c13b
hex28b0c17

42667031 has 16 divisors (see below), whose sum is σ = 48445440. Its totient is φ = 37234080.

The previous prime is 42667003. The next prime is 42667039. The reversal of 42667031 is 13076624.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42667031 is a prime.

It is a super-2 number, since 2×426670312 = 3640951068709922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42666985 and 42667003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42667039) 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 15 ways as a sum of consecutive naturals, for example, 31490 + ... + 32816.

It is an arithmetic number, because the mean of its divisors is an integer number (3027840).

Almost surely, 242667031 is an apocalyptic number.

42667031 is a deficient number, since it is larger than the sum of its proper divisors (5778409).

42667031 is a wasteful number, since it uses less digits than its factorization.

42667031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42667031 is about 6532.0005358236. Note that the first 3 decimals coincide. The cubic root of 42667031 is about 349.4331804994.

The spelling of 42667031 in words is "forty-two million, six hundred sixty-seven thousand, thirty-one".

Divisors: 1 11 37 79 407 869 1327 2923 14597 32153 49099 104833 540089 1153163 3878821 42667031