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42022008 = 23327243277
BaseRepresentation
bin1010000001001…
…1010001111000
32221001221100200
42200103101320
541224201013
64100402200
71020116100
oct240232170
987057320
1042022008
11217a1836
12120a6360
138923cc2
14581c200
153a50e73
hex2813478

42022008 has 144 divisors (see below), whose sum is σ = 135958680. Its totient is φ = 11684736.

The previous prime is 42021997. The next prime is 42022031. The reversal of 42022008 is 80022024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151566 + ... + 151842.

Almost surely, 242022008 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 42022008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67979340).

42022008 is an abundant number, since it is smaller than the sum of its proper divisors (93936672).

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

42022008 is a wasteful number, since it uses less digits than its factorization.

42022008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42022008 is about 6482.4384300971. The cubic root of 42022008 is about 347.6633684856.

The spelling of 42022008 in words is "forty-two million, twenty-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 277 294 301 344 387 392 441 504 516 554 588 602 774 831 882 903 1032 1108 1176 1204 1548 1662 1764 1806 1939 2107 2216 2408 2493 2709 3096 3324 3528 3612 3878 4214 4986 5418 5817 6321 6648 7224 7756 8428 9972 10836 11634 11911 12642 13573 15512 16856 17451 18963 19944 21672 23268 23822 25284 27146 34902 35733 37926 40719 46536 47644 50568 54292 69804 71466 75852 81438 83377 95288 107199 108584 122157 139608 142932 151704 162876 166754 214398 244314 250131 285864 325752 333508 428796 488628 500262 583639 667016 750393 857592 977256 1000524 1167278 1500786 1750917 2001048 2334556 3001572 3501834 4669112 5252751 6003144 7003668 10505502 14007336 21011004 42022008