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42554646 = 2392347
BaseRepresentation
bin1010001001010…
…1010100010110
32222002000000000
42202111110112
541343222041
64120032130
71024465011
oct242252426
988060000
1042554646
1122025a32
1212302646
138a7c584
14591a378
153b08bb6
hex2895516

42554646 has 80 divisors (see below), whose sum is σ = 102034944. Its totient is φ = 13279464.

The previous prime is 42554641. The next prime is 42554647. The reversal of 42554646 is 64645524.

42554646 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 4 + 646 = 666.

Its product of digits (115200) is a multiple of the sum of its prime divisors (75).

It is a self number, because there is not a number n which added to its sum of digits gives 42554646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42554641) 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 39 ways as a sum of consecutive naturals, for example, 905395 + ... + 905441.

Almost surely, 242554646 is an apocalyptic number.

42554646 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42554646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51017472).

42554646 is an abundant number, since it is smaller than the sum of its proper divisors (59480298).

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

42554646 is an frugal number, since it uses more digits than its factorization.

42554646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 42554646 is about 6523.3922157111. The cubic root of 42554646 is about 349.1261082893.

The spelling of 42554646 in words is "forty-two million, five hundred fifty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 81 94 138 141 162 207 243 282 414 423 486 621 729 846 1081 1242 1269 1458 1863 2162 2187 2538 3243 3726 3807 4374 5589 6486 6561 7614 9729 11178 11421 13122 16767 19458 19683 22842 29187 33534 34263 39366 50301 58374 68526 87561 100602 102789 150903 175122 205578 262683 301806 308367 452709 525366 616734 788049 905418 925101 1576098 1850202 2364147 4728294 7092441 14184882 21277323 42554646