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41431096 = 23719231693
BaseRepresentation
bin1001111000001…
…1000000111000
32212221220210001
42132003000320
541101243341
64040002344
71012105240
oct236030070
985856701
1041431096
1121428883
1211a603b4
138778055
145706b20
153985d31
hex2783038

41431096 has 64 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 16080768.

The previous prime is 41431087. The next prime is 41431121. The reversal of 41431096 is 69013414.

It is a super-2 number, since 2×414310962 = 3433071431522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23626 + ... + 25318.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 241431096 is an apocalyptic number.

41431096 is a gapful number since it is divisible by the number (46) 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 41431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

41431096 is an abundant number, since it is smaller than the sum of its proper divisors (56143304).

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

41431096 is a wasteful number, since it uses less digits than its factorization.

41431096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 41431096 is about 6436.6991540696. The cubic root of 41431096 is about 346.0260597165.

It can be divided in two parts, 414 and 31096, that multiplied together give a square (12873744 = 35882).

The spelling of 41431096 in words is "forty-one million, four hundred thirty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 874 1064 1288 1693 1748 3059 3386 3496 6118 6772 11851 12236 13544 23702 24472 32167 38939 47404 64334 77878 94808 128668 155756 225169 257336 272573 311512 450338 545146 739841 900676 1090292 1479682 1801352 2180584 2959364 5178887 5918728 10357774 20715548 41431096