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42566208 = 263475389
BaseRepresentation
bin1010001001100…
…0001001000000
32222002120212020
42202120021000
541344104313
64120201440
71024543506
oct242301100
988076766
1042566208
1122033693
1212309280
138a84909
145920676
153b0c323
hex2898240

42566208 has 112 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 13471744.

The previous prime is 42566203. The next prime is 42566231. The reversal of 42566208 is 80266524.

It is not an unprimeable number, because it can be changed into a prime (42566203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478228 + ... + 478316.

Almost surely, 242566208 is an apocalyptic number.

42566208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42566208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59253120).

42566208 is an abundant number, since it is smaller than the sum of its proper divisors (75940032).

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

42566208 is a wasteful number, since it uses less digits than its factorization.

42566208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 42566208 is about 6524.2783508983. The cubic root of 42566208 is about 349.1577243479.

The spelling of 42566208 in words is "forty-two million, five hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 64 89 94 96 106 141 159 178 188 192 212 267 282 318 356 376 424 534 564 636 712 752 848 1068 1128 1272 1424 1504 1696 2136 2256 2491 2544 2848 3008 3392 4183 4272 4512 4717 4982 5088 5696 7473 8366 8544 9024 9434 9964 10176 12549 14151 14946 16732 17088 18868 19928 25098 28302 29892 33464 37736 39856 50196 56604 59784 66928 75472 79712 100392 113208 119568 133856 150944 159424 200784 221699 226416 239136 267712 301888 401568 443398 452832 478272 665097 803136 886796 905664 1330194 1773592 2660388 3547184 5320776 7094368 10641552 14188736 21283104 42566208