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42203172 = 22311595419
BaseRepresentation
bin1010000011111…
…1100000100100
32221102010212110
42200333200210
541301000142
64104321020
71021502214
oct240774044
987363773
1042203172
1121905960
1212173170
1389885bb
145868244
153a8999c
hex283f824

42203172 has 48 divisors (see below), whose sum is σ = 109267200. Its totient is φ = 12569760.

The previous prime is 42203171. The next prime is 42203179. The reversal of 42203172 is 27130224.

It is a super-3 number, since 3×422031723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42203171) 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, 5079 + ... + 10497.

It is an arithmetic number, because the mean of its divisors is an integer number (2276400).

Almost surely, 242203172 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 42203172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633600).

42203172 is an abundant number, since it is smaller than the sum of its proper divisors (67064028).

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

42203172 is a wasteful number, since it uses less digits than its factorization.

42203172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42203172 is about 6496.3968474840. The cubic root of 42203172 is about 348.1622641354.

Adding to 42203172 its reverse (27130224), we get a palindrome (69333396).

The spelling of 42203172 in words is "forty-two million, two hundred three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 5419 7788 10838 16257 21676 32514 59609 65028 119218 178827 238436 319721 357654 639442 715308 959163 1278884 1918326 3516931 3836652 7033862 10550793 14067724 21101586 42203172