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41354712 = 233671013
BaseRepresentation
bin1001110111000…
…0010111011000
32212211001000000
42131300113120
541041322322
64034213000
71011336450
oct235602730
985731000
1041354712
1121386453
1211a24160
13874c359
1456c6d60
15396d3ac
hex27705d8

41354712 has 112 divisors (see below), whose sum is σ = 132996240. Its totient is φ = 11803968.

The previous prime is 41354707. The next prime is 41354717. The reversal of 41354712 is 21745314.

41354712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41354707) and next prime (41354717).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41354717) 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 27 ways as a sum of consecutive naturals, for example, 40318 + ... + 41330.

Almost surely, 241354712 is an apocalyptic number.

41354712 is a gapful number since it is divisible by the number (42) 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 41354712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66498120).

41354712 is an abundant number, since it is smaller than the sum of its proper divisors (91641528).

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

41354712 is a wasteful number, since it uses less digits than its factorization.

41354712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 41354712 is about 6430.7629407404. The cubic root of 41354712 is about 345.8132798101.

The spelling of 41354712 in words is "forty-one million, three hundred fifty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1013 1134 1458 1512 1701 1944 2026 2268 2916 3039 3402 4052 4536 5103 5832 6078 6804 7091 8104 9117 10206 12156 13608 14182 18234 20412 21273 24312 27351 28364 36468 40824 42546 54702 56728 63819 72936 82053 85092 109404 127638 164106 170184 191457 218808 246159 255276 328212 382914 492318 510552 574371 656424 738477 765828 984636 1148742 1476954 1531656 1723113 1969272 2297484 2953908 3446226 4594968 5169339 5907816 6892452 10338678 13784904 20677356 41354712