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42063424 = 261323889
BaseRepresentation
bin1010000001110…
…1011001000000
32221011001011121
42200131121000
541232012144
64101322024
71020350614
oct240353100
987131147
1042063424
112181a967
1212106314
138939b00
14582d344
153a5d384
hex281d640

42063424 has 42 divisors (see below), whose sum is σ = 90407490. Its totient is φ = 19408896.

The previous prime is 42063421. The next prime is 42063433. The reversal of 42063424 is 42436024.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 41473600 = 768^2 + 6440^2 .

It is not an unprimeable number, because it can be changed into a prime (42063421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8872 + ... + 12760.

Almost surely, 242063424 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 42063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45203745).

42063424 is an abundant number, since it is smaller than the sum of its proper divisors (48344066).

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

42063424 is a wasteful number, since it uses less digits than its factorization.

42063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 42063424 is about 6485.6321203102. The cubic root of 42063424 is about 347.7775475309. Note that the first 3 decimals are identical.

Adding to 42063424 its reverse (42436024), we get a palindrome (84499448).

The spelling of 42063424 in words is "forty-two million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3889 5408 7778 10816 15556 31112 50557 62224 101114 124448 202228 248896 404456 657241 808912 1314482 1617824 2628964 3235648 5257928 10515856 21031712 42063424