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41232906 = 232111383193
BaseRepresentation
bin1001110101001…
…0101000001010
32212120211220200
42131102220022
541023423111
64031433030
71010321361
oct235225012
985524820
1041232906
1121302990
1211985776
138708a90
1456947d8
153947256
hex2752a0a

41232906 has 96 divisors (see below), whose sum is σ = 106771392. Its totient is φ = 11335680.

The previous prime is 41232901. The next prime is 41232913. The reversal of 41232906 is 60923214.

It is a self number, because there is not a number n which added to its sum of digits gives 41232906.

It is not an unprimeable number, because it can be changed into a prime (41232901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 213546 + ... + 213738.

It is an arithmetic number, because the mean of its divisors is an integer number (1112202).

Almost surely, 241232906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41232906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53385696).

41232906 is an abundant number, since it is smaller than the sum of its proper divisors (65538486).

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

41232906 is a wasteful number, since it uses less digits than its factorization.

41232906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41232906 is about 6421.2853853415. The cubic root of 41232906 is about 345.4734269164.

The spelling of 41232906 in words is "forty-one million, two hundred thirty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 83 99 117 143 166 193 198 234 249 286 386 429 498 579 747 858 913 1079 1158 1287 1494 1737 1826 2123 2158 2509 2574 2739 3237 3474 4246 5018 5478 6369 6474 7527 8217 9711 11869 12738 15054 16019 16434 19107 19422 22581 23738 27599 32038 35607 38214 45162 48057 55198 71214 82797 96114 106821 144171 165594 176209 208247 213642 248391 288342 352418 416494 496782 528627 624741 1057254 1249482 1585881 1874223 2290717 3171762 3748446 4581434 6872151 13744302 20616453 41232906