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42305208 = 23311376171
BaseRepresentation
bin1010000101100…
…0011010111000
32221121022211120
42201120122320
541312231313
64110425240
71022405541
oct241303270
987538746
1042305208
1121975590
1212202220
1389c2b8a
1458934c8
153aa9d23
hex28586b8

42305208 has 128 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 12096000.

The previous prime is 42305167. The next prime is 42305209. The reversal of 42305208 is 80250324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42305209) 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 31 ways as a sum of consecutive naturals, for example, 595813 + ... + 595883.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 242305208 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 42305208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

42305208 is an abundant number, since it is smaller than the sum of its proper divisors (79829832).

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

42305208 is a wasteful number, since it uses less digits than its factorization.

42305208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42305208 is about 6504.2453828250. The cubic root of 42305208 is about 348.4426261038.

Subtracting 42305208 from its reverse (80250324), we obtain a triangular number (37945116 = T8711).

The spelling of 42305208 in words is "forty-two million, three hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 61 66 71 74 88 111 122 132 142 148 183 213 222 244 264 284 296 366 407 426 444 488 568 671 732 781 814 852 888 1221 1342 1464 1562 1628 1704 2013 2257 2343 2442 2627 2684 3124 3256 4026 4331 4514 4686 4884 5254 5368 6248 6771 7881 8052 8662 9028 9372 9768 10508 12993 13542 15762 16104 17324 18056 18744 21016 24827 25986 27084 28897 31524 34648 47641 49654 51972 54168 57794 63048 74481 86691 95282 99308 103944 115588 142923 148962 160247 173382 190564 198616 231176 285846 297924 320494 346764 381128 480741 571692 595848 640988 693528 961482 1143384 1281976 1762717 1922964 3525434 3845928 5288151 7050868 10576302 14101736 21152604 42305208