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42812224 = 267137351
BaseRepresentation
bin1010001101010…
…0001101000000
32222120002022221
42203110031000
541424442344
64125340424
71026616660
oct243241500
988502287
1042812224
1122191504
1212407714
138b3c8a0
1459861a0
153b5a184
hex28d4340

42812224 has 56 divisors (see below), whose sum is σ = 104574848. Its totient is φ = 16934400.

The previous prime is 42812213. The next prime is 42812227. The reversal of 42812224 is 42221824.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42812227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2149 + ... + 9499.

It is an arithmetic number, because the mean of its divisors is an integer number (1867408).

Almost surely, 242812224 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 42812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52287424).

42812224 is an abundant number, since it is smaller than the sum of its proper divisors (61762624).

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

42812224 is a wasteful number, since it uses less digits than its factorization.

42812224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7373 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 42812224 is about 6543.1050732813. The cubic root of 42812224 is about 349.8290975155.

The spelling of 42812224 in words is "forty-two million, eight hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 7351 14702 29404 51457 58808 95563 102914 117616 191126 205828 235232 382252 411656 470464 668941 764504 823312 1337882 1529008 1646624 2675764 3058016 3293248 5351528 6116032 10703056 21406112 42812224