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42412167 = 347131571
BaseRepresentation
bin1010000111001…
…0100010000111
32221210202120000
42201302202013
541324142132
64113012343
71023332430
oct241624207
987722500
1042412167
1121a38986
12122540b3
138a2c775
1458c0487
153acb87c
hex2872887

42412167 has 40 divisors (see below), whose sum is σ = 73087872. Its totient is φ = 24008400.

The previous prime is 42412157. The next prime is 42412211. The reversal of 42412167 is 76121424.

It is not a de Polignac number, because 42412167 - 24 = 42412151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42412167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412157) 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 39 ways as a sum of consecutive naturals, for example, 73992 + ... + 74562.

Almost surely, 242412167 is an apocalyptic number.

42412167 is a deficient number, since it is larger than the sum of its proper divisors (30675705).

42412167 is a wasteful number, since it uses less digits than its factorization.

42412167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42412167 is about 6512.4624375116. The cubic root of 42412167 is about 348.7360313517.

The spelling of 42412167 in words is "forty-two million, four hundred twelve thousand, one hundred sixty-seven".

Divisors: 1 3 7 9 21 27 63 81 131 189 393 567 571 917 1179 1713 2751 3537 3997 5139 8253 10611 11991 15417 24759 35973 46251 74277 74801 107919 224403 323757 523607 673209 1570821 2019627 4712463 6058881 14137389 42412167