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41680278 = 2332337907
BaseRepresentation
bin1001111011111…
…1110110010110
32220102120121000
42132333312112
541132232103
64045204130
71014163563
oct236776626
986376530
1041680278
1121589012
1211b60646
1388345b3
14576d86a
1539d4aa3
hex27bfd96

41680278 has 64 divisors (see below), whose sum is σ = 99371520. Its totient is φ = 12915936.

The previous prime is 41680273. The next prime is 41680291. The reversal of 41680278 is 87208614.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41680273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45501 + ... + 46407.

It is an arithmetic number, because the mean of its divisors is an integer number (1552680).

Almost surely, 241680278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41680278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49685760).

41680278 is an abundant number, since it is smaller than the sum of its proper divisors (57691242).

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

41680278 is a wasteful number, since it uses less digits than its factorization.

41680278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 41680278 is about 6456.0264869345. The cubic root of 41680278 is about 346.7183833511.

The spelling of 41680278 in words is "forty-one million, six hundred eighty thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 333 414 621 666 851 907 999 1242 1702 1814 1998 2553 2721 5106 5442 7659 8163 15318 16326 20861 22977 24489 33559 41722 45954 48978 62583 67118 100677 125166 187749 201354 302031 375498 563247 604062 771857 906093 1126494 1543714 1812186 2315571 4631142 6946713 13893426 20840139 41680278