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42485454 = 23211229937
BaseRepresentation
bin1010001000010…
…0011011001110
32221221111002100
42202010123032
541334013304
64114335530
71024056204
oct242043316
987844070
1042485454
1121a88a50
121228a5a6
138a56c2b
1458dd074
153ae3439
hex28846ce

42485454 has 48 divisors (see below), whose sum is σ = 100966320. Its totient is φ = 12804480.

The previous prime is 42485411. The next prime is 42485473. The reversal of 42485454 is 45458424.

It is a super-2 number, since 2×424854542 = 3610027603172232, which contains 22 as substring.

42485454 is a modest number, since divided by 5454 gives 4248 as remainder.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44874 + ... + 45810.

It is an arithmetic number, because the mean of its divisors is an integer number (2103465).

Almost surely, 242485454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42485454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50483160).

42485454 is an abundant number, since it is smaller than the sum of its proper divisors (58480866).

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

42485454 is a wasteful number, since it uses less digits than its factorization.

42485454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1182 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 42485454 is about 6518.0866824552. The cubic root of 42485454 is about 348.9367843620.

The spelling of 42485454 in words is "forty-two million, four hundred eighty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 458 687 937 1374 1874 2061 2519 2811 4122 5038 5622 7557 8433 10307 15114 16866 20614 22671 30921 45342 61842 92763 185526 214573 429146 643719 1287438 1931157 2360303 3862314 4720606 7080909 14161818 21242727 42485454