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42413312 = 28292197
BaseRepresentation
bin1010000111001…
…0110100000000
32221210211010102
42201302310000
541324211222
64113021532
71023335654
oct241626400
987724112
1042413312
1121a39827
12122548a8
138a30146
1458c0a64
153acbd92
hex2872d00

42413312 has 54 divisors (see below), whose sum is σ = 88126038. Its totient is φ = 20371456.

The previous prime is 42413299. The next prime is 42413323. The reversal of 42413312 is 21331424.

It can be written as a sum of positive squares in 3 ways, for example, as 19219456 + 23193856 = 4384^2 + 4816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215198 + ... + 215394.

Almost surely, 242413312 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 42413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44063019).

42413312 is an abundant number, since it is smaller than the sum of its proper divisors (45712726).

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

42413312 is an equidigital number, since it uses as much as digits as its factorization.

42413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 228 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 42413312 is about 6512.5503452948. The cubic root of 42413312 is about 348.7391695955.

Adding to 42413312 its reverse (21331424), we get a palindrome (63744736).

The spelling of 42413312 in words is "forty-two million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 197 232 256 394 464 788 841 928 1576 1682 1856 3152 3364 3712 5713 6304 6728 7424 11426 12608 13456 22852 25216 26912 45704 50432 53824 91408 107648 165677 182816 215296 331354 365632 662708 731264 1325416 1462528 2650832 5301664 10603328 21206656 42413312