Search a number
-
+
41977026 = 2327313523
BaseRepresentation
bin1010000000100…
…0010011000010
32220222122122200
42200020103002
541221231101
64055414030
71016541000
oct240102302
986878580
1041977026
1121770a63
1212084316
1389096a0
145809a70
153a42986
hex28084c2

41977026 has 96 divisors (see below), whose sum is σ = 114441600. Its totient is φ = 11049696.

The previous prime is 41977021. The next prime is 41977037. The reversal of 41977026 is 62077914.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41977021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80001 + ... + 80523.

It is an arithmetic number, because the mean of its divisors is an integer number (1192100).

Almost surely, 241977026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41977026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57220800).

41977026 is an abundant number, since it is smaller than the sum of its proper divisors (72464574).

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

41977026 is a wasteful number, since it uses less digits than its factorization.

41977026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 41977026 is about 6478.9679733735. The cubic root of 41977026 is about 347.5392733764.

The spelling of 41977026 in words is "forty-one million, nine hundred seventy-seven thousand, twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 523 546 637 686 819 882 1029 1046 1274 1569 1638 1911 2058 3087 3138 3661 3822 4459 4707 5733 6174 6799 7322 8918 9414 10983 11466 13377 13598 20397 21966 25627 26754 32949 40131 40794 47593 51254 61191 65898 76881 80262 95186 122382 142779 153762 179389 230643 285558 333151 358778 428337 461286 538167 666302 856674 999453 1076334 1614501 1998906 2332057 2998359 3229002 4664114 5996718 6996171 13992342 20988513 41977026