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41424012 = 223272231021
BaseRepresentation
bin1001111000000…
…1010010001100
32212221120001200
42132001102030
541101032022
64035505500
71012045500
oct236012214
985846050
1041424012
1121423523
1211a58290
138774a66
145704300
153983bac
hex278148c

41424012 has 108 divisors (see below), whose sum is σ = 127226736. Its totient is φ = 11309760.

The previous prime is 41424011. The next prime is 41424013. The reversal of 41424012 is 21042414.

41424012 is a `hidden beast` number, since 414 + 240 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (41424011) and next prime (41424013).

It is a super-2 number, since 2×414240122 = 3431897540352288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41424011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40062 + ... + 41082.

Almost surely, 241424012 is an apocalyptic number.

41424012 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 41424012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63613368).

41424012 is an abundant number, since it is smaller than the sum of its proper divisors (85802724).

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

41424012 is a wasteful number, since it uses less digits than its factorization.

41424012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41424012 is about 6436.1488484963. The cubic root of 41424012 is about 346.0063371042.

Adding to 41424012 its reverse (21042414), we get a palindrome (62466426).

The spelling of 41424012 in words is "forty-one million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1021 1127 1449 1764 1932 2042 2254 2898 3063 3381 4084 4508 5796 6126 6762 7147 9189 10143 12252 13524 14294 18378 20286 21441 23483 28588 36756 40572 42882 46966 50029 64323 70449 85764 93932 100058 128646 140898 150087 164381 200116 211347 257292 281796 300174 328762 422694 450261 493143 600348 657524 845388 900522 986286 1150667 1479429 1801044 1972572 2301334 2958858 3452001 4602668 5917716 6904002 10356003 13808004 20712006 41424012