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42656208 = 2437791607
BaseRepresentation
bin1010001010111…
…0000111010000
32222021011022120
42202232013100
541404444313
64122134240
71025400060
oct242560720
988234276
1042656208
1122095271
1212351380
138ab687a
1459453a0
153b28d23
hex28ae1d0

42656208 has 80 divisors (see below), whose sum is σ = 127610880. Its totient is φ = 12025728.

The previous prime is 42656203. The next prime is 42656209. The reversal of 42656208 is 80265624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42656203) 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 15 ways as a sum of consecutive naturals, for example, 25741 + ... + 27347.

It is an arithmetic number, because the mean of its divisors is an integer number (1595136).

Almost surely, 242656208 is an apocalyptic number.

42656208 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 42656208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63805440).

42656208 is an abundant number, since it is smaller than the sum of its proper divisors (84954672).

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

42656208 is a wasteful number, since it uses less digits than its factorization.

42656208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

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

The square root of 42656208 is about 6531.1720234580. The cubic root of 42656208 is about 349.4036320398.

The spelling of 42656208 in words is "forty-two million, six hundred fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1607 1659 1896 2212 3214 3318 3792 4424 4821 6428 6636 8848 9642 11249 12856 13272 19284 22498 25712 26544 33747 38568 44996 67494 77136 89992 126953 134988 179984 253906 269976 380859 507812 539952 761718 888671 1015624 1523436 1777342 2031248 2666013 3046872 3554684 5332026 6093744 7109368 10664052 14218736 21328104 42656208