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42443004 = 223231031493
BaseRepresentation
bin1010000111101…
…0000011111100
32221212022212010
42201322003330
541331134004
64113411220
71023521352
oct241720374
987768763
1042443004
1121a5a06a
1212269b10
138a40806
1458cb7d2
153ad5a89
hex287a0fc

42443004 has 48 divisors (see below), whose sum is σ = 104412672. Its totient is φ = 13392192.

The previous prime is 42442997. The next prime is 42443039. The reversal of 42443004 is 40034424.

42443004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 27682 + ... + 29174.

It is an arithmetic number, because the mean of its divisors is an integer number (2175264).

Almost surely, 242443004 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 42443004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52206336).

42443004 is an abundant number, since it is smaller than the sum of its proper divisors (61969668).

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

42443004 is a wasteful number, since it uses less digits than its factorization.

42443004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42443004 is about 6514.8295449689. The cubic root of 42443004 is about 348.8205304352.

Adding to 42443004 its reverse (40034424), we get a palindrome (82477428).

The spelling of 42443004 in words is "forty-two million, four hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 1493 2369 2986 4479 4738 5972 7107 8958 9476 14214 17916 28428 34339 68678 103017 137356 153779 206034 307558 412068 461337 615116 922674 1845348 3536917 7073834 10610751 14147668 21221502 42443004