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42215454 = 232171953137
BaseRepresentation
bin1010000100001…
…0100000011110
32221102202201100
42201002200132
541301343304
64104453530
71021553061
oct241024036
987382640
1042215454
1121914106
121217a2a6
138991078
14586c8d8
153a8d439
hex284281e

42215454 has 96 divisors (see below), whose sum is σ = 104626080. Its totient is φ = 12220416.

The previous prime is 42215449. The next prime is 42215479. The reversal of 42215454 is 45451224.

It is a super-2 number, since 2×422154542 = 3564289112852232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308074 + ... + 308210.

It is an arithmetic number, because the mean of its divisors is an integer number (1089855).

Almost surely, 242215454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42215454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52313040).

42215454 is an abundant number, since it is smaller than the sum of its proper divisors (62410626).

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

42215454 is a wasteful number, since it uses less digits than its factorization.

42215454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 42215454 is about 6497.3420719553. The cubic root of 42215454 is about 348.1960350108.

Adding to 42215454 its reverse (45451224), we get a palindrome (87666678).

It can be divided in two parts, 422 and 15454, that added together give a square (15876 = 1262).

The spelling of 42215454 in words is "forty-two million, two hundred fifteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 53 57 102 106 114 137 153 159 171 274 306 318 323 342 411 477 646 822 901 954 969 1007 1233 1802 1938 2014 2329 2466 2603 2703 2907 3021 4658 5206 5406 5814 6042 6987 7261 7809 8109 9063 13974 14522 15618 16218 17119 18126 20961 21783 23427 34238 41922 43566 44251 46854 51357 65349 88502 102714 123437 130698 132753 137959 154071 246874 265506 275918 308142 370311 398259 413877 740622 796518 827754 1110933 1241631 2221866 2345303 2483262 4690606 7035909 14071818 21107727 42215454