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42124016 = 2411713371
BaseRepresentation
bin1010000010110…
…0001011110000
32221021010021202
42200230023300
541240432031
64102510332
71021022354
oct240541360
987233252
1042124016
1121861440
12121353a8
13895b56c
145847464
153a712cb
hex282c2f0

42124016 has 40 divisors (see below), whose sum is σ = 90315648. Its totient is φ = 18872000.

The previous prime is 42124003. The next prime is 42124057. The reversal of 42124016 is 61042124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10811 + ... + 14181.

Almost surely, 242124016 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 42124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45157824).

42124016 is an abundant number, since it is smaller than the sum of its proper divisors (48191632).

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

42124016 is a wasteful number, since it uses less digits than its factorization.

42124016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42124016 is about 6490.3016879033. The cubic root of 42124016 is about 347.9444575997.

It can be divided in two parts, 4212 and 4016, that added together give a palindrome (8228).

The spelling of 42124016 in words is "forty-two million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 3371 6248 6742 12496 13484 26968 37081 53936 74162 148324 239341 296648 478682 593296 957364 1914728 2632751 3829456 5265502 10531004 21062008 42124016