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42580296 = 23331117921
BaseRepresentation
bin1010001001101…
…1100101001000
32222010022012000
42202123211020
541400032141
64120351000
71024632543
oct242334510
988108160
1042580296
1122043230
1212315460
138a8b155
14592585a
153b115b6
hex289b948

42580296 has 64 divisors (see below), whose sum is σ = 129038400. Its totient is φ = 12902400.

The previous prime is 42580283. The next prime is 42580301. The reversal of 42580296 is 69208524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42580296.

It is an unprimeable number.

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, 6585 + ... + 11336.

It is an arithmetic number, because the mean of its divisors is an integer number (2016225).

Almost surely, 242580296 is an apocalyptic number.

It is an amenable number.

42580296 is an abundant number, since it is smaller than the sum of its proper divisors (86458104).

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

42580296 is a wasteful number, since it uses less digits than its factorization.

42580296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17947 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42580296 is about 6525.3579212178. The cubic root of 42580296 is about 349.1962399661.

The spelling of 42580296 in words is "forty-two million, five hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 17921 35842 53763 71684 107526 143368 161289 197131 215052 322578 394262 430104 483867 591393 645156 788524 967734 1182786 1290312 1577048 1774179 1935468 2365572 3548358 3870936 4731144 5322537 7096716 10645074 14193432 21290148 42580296