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42203376 = 2433211463
BaseRepresentation
bin1010000011111…
…1100011110000
32221102011011000
42200333203300
541301002001
64104322000
71021502625
oct240774360
987364130
1042203376
1121906026
1212173300
138988717
14586834c
153a89a86
hex283f8f0

42203376 has 80 divisors (see below), whose sum is σ = 121976320. Its totient is φ = 13970880.

The previous prime is 42203363. The next prime is 42203377. The reversal of 42203376 is 67330224.

42203376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422033762 = 3562249891594752, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90921 + ... + 91383.

It is an arithmetic number, because the mean of its divisors is an integer number (1524704).

Almost surely, 242203376 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 42203376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60988160).

42203376 is an abundant number, since it is smaller than the sum of its proper divisors (79772944).

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

42203376 is a wasteful number, since it uses less digits than its factorization.

42203376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42203376 is about 6496.4125484763. The cubic root of 42203376 is about 348.1628251121.

The spelling of 42203376 in words is "forty-two million, two hundred three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 422 432 463 633 844 926 1266 1389 1688 1852 1899 2532 2778 3376 3704 3798 4167 5064 5556 5697 7408 7596 8334 10128 11112 11394 12501 15192 16668 22224 22788 25002 30384 33336 45576 50004 66672 91152 97693 100008 195386 200016 293079 390772 586158 781544 879237 1172316 1563088 1758474 2344632 2637711 3516948 4689264 5275422 7033896 10550844 14067792 21101688 42203376