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42387012 = 2232731272
BaseRepresentation
bin1010000110110…
…0011001000100
32221202111001100
42201230121010
541322341022
64112300100
71023166203
oct241543104
987674040
1042387012
1121a20a98
1212241630
138a21195
1458b523a
153ac41ac
hex286c644

42387012 has 54 divisors (see below), whose sum is σ = 109474638. Its totient is φ = 13825728.

The previous prime is 42387011. The next prime is 42387031. The reversal of 42387012 is 21078324.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 5225796 = 6096^2 + 2286^2 .

It is not an unprimeable number, because it can be changed into a prime (42387011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 333693 + ... + 333819.

Almost surely, 242387012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42387012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54737319).

42387012 is an abundant number, since it is smaller than the sum of its proper divisors (67087626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42387012 is a wasteful number, since it uses less digits than its factorization.

42387012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 205 counting only the distinct ones).

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

The square root of 42387012 is about 6510.5308539320. The cubic root of 42387012 is about 348.6670716608.

The spelling of 42387012 in words is "forty-two million, three hundred eighty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 127 146 219 254 292 381 438 508 657 762 876 1143 1314 1524 2286 2628 4572 9271 16129 18542 27813 32258 37084 48387 55626 64516 83439 96774 111252 145161 166878 193548 290322 333756 580644 1177417 2354834 3532251 4709668 7064502 10596753 14129004 21193506 42387012