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42971776 = 27973461
BaseRepresentation
bin1010001111101…
…1001010000000
32222212012012021
42203323022000
542000044101
64133011224
71031153101
oct243731200
988765167
1042971776
1122290371
1212483b14
138b973b3
1459c83a8
153b8c5a1
hex28fb280

42971776 has 32 divisors (see below), whose sum is σ = 86515380. Its totient is φ = 21258240.

The previous prime is 42971741. The next prime is 42971779. The reversal of 42971776 is 67717924.

It can be written as a sum of positive squares in 2 ways, for example, as 41473600 + 1498176 = 6440^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42971779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10686 + ... + 14146.

Almost surely, 242971776 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 42971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43257690).

42971776 is an abundant number, since it is smaller than the sum of its proper divisors (43543604).

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

42971776 is an equidigital number, since it uses as much as digits as its factorization.

42971776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3560 counting only the distinct ones).

The product of its digits is 148176, while the sum is 43.

The square root of 42971776 is about 6555.2861112235. The cubic root of 42971776 is about 350.2631381714.

The spelling of 42971776 in words is "forty-two million, nine hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 3461 6208 6922 12416 13844 27688 55376 110752 221504 335717 443008 671434 1342868 2685736 5371472 10742944 21485888 42971776