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41049008 = 24711213233
BaseRepresentation
bin1001110010010…
…1101110110000
32212020111122122
42130211232300
541002032013
64023453412
71005624260
oct234455660
985214578
1041049008
1121197800
12118b7268
138673170
1456477a0
15390ca08
hex2725bb0

41049008 has 120 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 14699520.

The previous prime is 41048993. The next prime is 41049049. The reversal of 41049008 is 80094014.

41049008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176060 + ... + 176292.

Almost surely, 241049008 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 41049008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

41049008 is an abundant number, since it is smaller than the sum of its proper divisors (67006576).

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

41049008 is a wasteful number, since it uses less digits than its factorization.

41049008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 41049008 is about 6406.9499763928. The cubic root of 41049008 is about 344.9590597642.

The spelling of 41049008 in words is "forty-one million, forty-nine thousand, eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 233 242 286 308 364 466 484 572 616 728 847 932 968 1001 1144 1232 1456 1573 1631 1694 1864 1936 2002 2288 2563 3029 3146 3262 3388 3728 4004 5126 6058 6292 6524 6776 8008 10252 11011 12116 12584 13048 13552 16016 17941 20504 21203 22022 24232 25168 26096 28193 33319 35882 41008 42406 44044 48464 56386 66638 71764 84812 88088 112772 133276 143528 169624 176176 197351 225544 233233 266552 287056 339248 366509 394702 451088 466466 533104 733018 789404 932932 1466036 1578808 1865864 2565563 2932072 3157616 3731728 5131126 5864144 10262252 20524504 41049008