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41033916 = 2232711113131
BaseRepresentation
bin1001110010001…
…0000010111100
32212012201221200
42130202002330
541001041131
64023255500
71005532260
oct234420274
985181850
1041033916
1121187430
12118aa590
138669331
1456420a0
1539082e6
hex27220bc

41033916 has 144 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 10483200.

The previous prime is 41033899. The next prime is 41033917. The reversal of 41033916 is 61933014.

It is a self number, because there is not a number n which added to its sum of digits gives 41033916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41033917) 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, 313171 + ... + 313301.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 241033916 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 41033916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729664).

41033916 is an abundant number, since it is smaller than the sum of its proper divisors (90425412).

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

41033916 is a wasteful number, since it uses less digits than its factorization.

41033916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 41033916 is about 6405.7720846124. The cubic root of 41033916 is about 344.9167789188.

The spelling of 41033916 in words is "forty-one million, thirty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 113 126 131 132 154 198 226 231 252 262 308 339 393 396 452 462 524 678 693 786 791 917 924 1017 1179 1243 1356 1386 1441 1572 1582 1834 2034 2358 2373 2486 2751 2772 2882 3164 3668 3729 4068 4323 4716 4746 4972 5502 5764 7119 7458 8253 8646 8701 9492 10087 11004 11187 12969 14238 14803 14916 16506 17292 17402 20174 22374 25938 26103 28476 29606 30261 33012 34804 40348 44409 44748 51876 52206 59212 60522 78309 88818 90783 103621 104412 121044 133227 156618 162833 177636 181566 207242 266454 310863 313236 325666 363132 414484 488499 532908 621726 651332 932589 976998 1139831 1243452 1465497 1865178 1953996 2279662 2930994 3419493 3730356 4559324 5861988 6838986 10258479 13677972 20516958 41033916