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41938008 = 23371072333
BaseRepresentation
bin1001111111111…
…0110001011000
32220220200010120
42133332301120
541214004013
64054513240
71016316150
oct237766130
986820116
1041938008
1121744712
1212065820
1388c49b8
1457d9760
153a36123
hex27fec58

41938008 has 64 divisors (see below), whose sum is σ = 120994560. Its totient is φ = 11865216.

The previous prime is 41938007. The next prime is 41938027. The reversal of 41938008 is 80083914.

41938008 is nontrivially palindromic in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 41938008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41938003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16810 + ... + 19142.

It is an arithmetic number, because the mean of its divisors is an integer number (1890540).

Almost surely, 241938008 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 41938008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60497280).

41938008 is an abundant number, since it is smaller than the sum of its proper divisors (79056552).

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

41938008 is a wasteful number, since it uses less digits than its factorization.

41938008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 41938008 is about 6475.9561456205. The cubic root of 41938008 is about 347.4315597666.

The spelling of 41938008 in words is "forty-one million, nine hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2333 2568 2996 4494 4666 5992 6999 8988 9332 13998 16331 17976 18664 27996 32662 48993 55992 65324 97986 130648 195972 249631 391944 499262 748893 998524 1497786 1747417 1997048 2995572 3494834 5242251 5991144 6989668 10484502 13979336 20969004 41938008