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42433104 = 2437472687
BaseRepresentation
bin1010000111011…
…1101001010000
32221211211021110
42201313221100
541330324404
64113253320
71023450450
oct241675120
987754243
1042433104
1121a5268a
1212264240
138a3915c
1458c7d60
153ad2b89
hex2877a50

42433104 has 80 divisors (see below), whose sum is σ = 127991808. Its totient is φ = 11861376.

The previous prime is 42433103. The next prime is 42433129. The reversal of 42433104 is 40133424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14449 + ... + 17135.

Almost surely, 242433104 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 42433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63995904).

42433104 is an abundant number, since it is smaller than the sum of its proper divisors (85558704).

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

42433104 is a wasteful number, since it uses less digits than its factorization.

42433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42433104 is about 6514.0696956665. The cubic root of 42433104 is about 348.7934070661.

Adding to 42433104 its reverse (40133424), we get a palindrome (82566528).

The spelling of 42433104 in words is "forty-two million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 2687 3948 5264 5374 7896 8061 10748 15792 16122 18809 21496 32244 37618 42992 56427 64488 75236 112854 126289 128976 150472 225708 252578 300944 378867 451416 505156 757734 884023 902832 1010312 1515468 1768046 2020624 2652069 3030936 3536092 5304138 6061872 7072184 10608276 14144368 21216552 42433104