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42413888 = 261125477
BaseRepresentation
bin1010000111001…
…0111101000000
32221210211220202
42201302331000
541324221023
64113024332
71023340436
oct241627500
987724822
1042413888
1121a3a200
12122550a8
138a3049a
1458c0d56
153acc128
hex2872f40

42413888 has 42 divisors (see below), whose sum is σ = 92528898. Its totient is φ = 19275520.

The previous prime is 42413857. The next prime is 42413897. The reversal of 42413888 is 88831424.

It can be written as a sum of positive squares in only one way, i.e., 42406144 + 7744 = 6512^2 + 88^2 .

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 5 ways as a sum of consecutive naturals, for example, 5006 + ... + 10482.

It is an arithmetic number, because the mean of its divisors is an integer number (2203069).

Almost surely, 242413888 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 42413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46264449).

42413888 is an abundant number, since it is smaller than the sum of its proper divisors (50115010).

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

42413888 is a wasteful number, since it uses less digits than its factorization.

42413888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5490 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 42413888 is about 6512.5945674516. The cubic root of 42413888 is about 348.7407482890.

The spelling of 42413888 in words is "forty-two million, four hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5477 7744 10954 21908 43816 60247 87632 120494 175264 240988 350528 481976 662717 963952 1325434 1927904 2650868 3855808 5301736 10603472 21206944 42413888