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42478506 = 234747797
BaseRepresentation
bin1010001000001…
…0101110101010
32221221010120000
42202002232222
541333303011
64114243430
71024030020
oct242025652
987833500
1042478506
1121a83804
1212286576
138a53a15
1458da710
153ae1356
hex2882baa

42478506 has 80 divisors (see below), whose sum is σ = 111234816. Its totient is φ = 11863584.

The previous prime is 42478483. The next prime is 42478507. The reversal of 42478506 is 60587424.

It is not an unprimeable number, because it can be changed into a prime (42478507) 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, 52900 + ... + 53696.

Almost surely, 242478506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42478506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55617408).

42478506 is an abundant number, since it is smaller than the sum of its proper divisors (68756310).

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

42478506 is a wasteful number, since it uses less digits than its factorization.

42478506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42478506 is about 6517.5536821725. The cubic root of 42478506 is about 348.9177618125.

The spelling of 42478506 in words is "forty-two million, four hundred seventy-eight thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 282 329 378 423 567 658 797 846 987 1134 1269 1594 1974 2391 2538 2961 3807 4782 5579 5922 7173 7614 8883 11158 14346 16737 17766 21519 26649 33474 37459 43038 50211 53298 64557 74918 100422 112377 129114 150633 224754 262213 301266 337131 451899 524426 674262 786639 903798 1011393 1573278 2022786 2359917 3034179 4719834 6068358 7079751 14159502 21239253 42478506