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41096664 = 23327731117
BaseRepresentation
bin1001110011000…
…1010111011000
32212022221000200
42130301113120
541010043124
64024502200
71006213230
oct234612730
985287020
1041096664
112121a594
121191a960
13868ba6b
14565acc0
15391bbc9
hex27315d8

41096664 has 96 divisors (see below), whose sum is σ = 129061920. Its totient is φ = 11570688.

The previous prime is 41096663. The next prime is 41096689. The reversal of 41096664 is 46669014.

41096664 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41096663) by changing a digit.

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, 36234 + ... + 37350.

It is an arithmetic number, because the mean of its divisors is an integer number (1344395).

Almost surely, 241096664 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 41096664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64530960).

41096664 is an abundant number, since it is smaller than the sum of its proper divisors (87965256).

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

41096664 is a wasteful number, since it uses less digits than its factorization.

41096664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 41096664 is about 6410.6679839156. The cubic root of 41096664 is about 345.0925019761.

The spelling of 41096664 in words is "forty-one million, ninety-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1117 1314 1533 1752 2044 2234 2628 3066 3351 4088 4468 4599 5256 6132 6702 7819 8936 9198 10053 12264 13404 15638 18396 20106 23457 26808 31276 36792 40212 46914 62552 70371 80424 81541 93828 140742 163082 187656 244623 281484 326164 489246 562968 570787 652328 733869 978492 1141574 1467738 1712361 1956984 2283148 2935476 3424722 4566296 5137083 5870952 6849444 10274166 13698888 20548332 41096664