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42068736 = 283219312
BaseRepresentation
bin1010000001111…
…0101100000000
32221011022110100
42200132230000
541232144421
64101402400
71020402243
oct240365400
987138410
1042068736
1121823956
1212109400
13893c358
14583125a
153a5ec26
hex281eb00

42068736 has 162 divisors, whose sum is σ = 131929980. Its totient is φ = 12856320.

The previous prime is 42068731. The next prime is 42068737. The reversal of 42068736 is 63786024.

It is a super-4 number, since 4×420687364 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42068736.

It is not an unprimeable number, because it can be changed into a prime (42068731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1357041 + ... + 1357071.

Almost surely, 242068736 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 42068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65964990).

42068736 is an abundant number, since it is smaller than the sum of its proper divisors (89861244).

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

42068736 is a wasteful number, since it uses less digits than its factorization.

42068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42068736 is about 6486.0416279885. The cubic root of 42068736 is about 347.7921866671.

The spelling of 42068736 in words is "forty-two million, sixty-eight thousand, seven hundred thirty-six".