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41878242 = 233741719
BaseRepresentation
bin1001111111000…
…0001011100010
32220210122011000
42133300023202
541210100432
64053332430
71015650000
oct237601342
986718130
1041878242
112170381a
1212037116
1388a3733
1457c1a70
153a2357c
hex27f02e2

41878242 has 160 divisors (see below), whose sum is σ = 121003200. Its totient is φ = 10668672.

The previous prime is 41878229. The next prime is 41878247. The reversal of 41878242 is 24287814.

41878242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41878197 and 41878206.

It is not an unprimeable number, because it can be changed into a prime (41878247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204109 + ... + 2204127.

It is an arithmetic number, because the mean of its divisors is an integer number (756270).

Almost surely, 241878242 is an apocalyptic number.

41878242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41878242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501600).

41878242 is an abundant number, since it is smaller than the sum of its proper divisors (79124958).

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

41878242 is a wasteful number, since it uses less digits than its factorization.

41878242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 41878242 is about 6471.3400466982. The cubic root of 41878242 is about 347.2664393320.

The spelling of 41878242 in words is "forty-one million, eight hundred seventy-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 49 51 54 57 63 98 102 114 119 126 133 147 153 171 189 238 266 294 306 323 342 343 357 378 399 441 459 513 646 686 714 798 833 882 918 931 969 1026 1029 1071 1197 1323 1666 1862 1938 2058 2142 2261 2394 2401 2499 2646 2793 2907 3087 3213 3591 4522 4802 4998 5586 5814 5831 6174 6426 6517 6783 7182 7203 7497 8379 8721 9261 11662 13034 13566 14406 14994 15827 16758 17442 17493 18522 19551 20349 21609 22491 25137 31654 34986 39102 40698 40817 43218 44982 45619 47481 50274 52479 58653 61047 64827 81634 91238 94962 104958 110789 117306 122094 122451 129654 136857 142443 157437 175959 221578 244902 273714 284886 314874 332367 351918 367353 410571 427329 664734 734706 775523 821142 854658 997101 1102059 1231713 1551046 1994202 2204118 2326569 2463426 2991303 4653138 5982606 6979707 13959414 20939121 41878242