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41069808 = 24331371103
BaseRepresentation
bin1001110010101…
…0110011110000
32212021120012000
42130222303300
541003213213
64024134000
71006042023
oct234526360
985246160
1041069808
112120139a
1211907300
13867c780
1456511ba
153913c73
hex272acf0

41069808 has 160 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 12337920.

The previous prime is 41069803. The next prime is 41069827. The reversal of 41069808 is 80896014.

It is a happy number.

41069808 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 (41069801) 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 31 ways as a sum of consecutive naturals, for example, 398685 + ... + 398787.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 241069808 is an apocalyptic number.

41069808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41069808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

41069808 is an abundant number, since it is smaller than the sum of its proper divisors (88921872).

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

41069808 is a wasteful number, since it uses less digits than its factorization.

41069808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41069808 is about 6408.5730080885. The cubic root of 41069808 is about 345.0173148210.

The spelling of 41069808 in words is "forty-one million, sixty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 71 72 78 103 104 108 117 142 144 156 206 208 213 216 234 284 309 312 351 412 426 432 468 568 618 624 639 702 824 852 923 927 936 1136 1236 1278 1339 1404 1648 1704 1846 1854 1872 1917 2472 2556 2678 2769 2781 2808 3408 3692 3708 3834 4017 4944 5112 5356 5538 5562 5616 7313 7384 7416 7668 8034 8307 10224 10712 11076 11124 12051 14626 14768 14832 15336 16068 16614 21424 21939 22152 22248 24102 24921 29252 30672 32136 33228 36153 43878 44304 44496 48204 49842 58504 64272 65817 66456 72306 87756 95069 96408 99684 117008 131634 132912 144612 175512 190138 192816 197451 199368 263268 285207 289224 351024 380276 394902 398736 526536 570414 578448 760552 789804 855621 1053072 1140828 1521104 1579608 1711242 2281656 2566863 3159216 3422484 4563312 5133726 6844968 10267452 13689936 20534904 41069808