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41311312 = 2472232979
BaseRepresentation
bin1001110110010…
…1110001010000
32212201211110121
42131211301100
541033430222
64033240024
71011066100
oct235456120
985654417
1041311312
1121356889
1211a03014
138735683
1456b5200
1539605c7
hex2765c50

41311312 has 120 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 16144128.

The previous prime is 41311307. The next prime is 41311321. The reversal of 41311312 is 21311314.

It is a super-2 number, since 2×413113122 = 3413248998322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522889 + ... + 522967.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 241311312 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 41311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

41311312 is an abundant number, since it is smaller than the sum of its proper divisors (60467888).

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

41311312 is a wasteful number, since it uses less digits than its factorization.

41311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 41311312 is about 6427.3876497376. The cubic root of 41311312 is about 345.6922653890.

Adding to 41311312 its reverse (21311314), we get a palindrome (62622626).

The spelling of 41311312 in words is "forty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 49 56 58 79 92 98 112 116 158 161 184 196 203 232 316 322 368 392 406 464 553 632 644 667 784 812 1106 1127 1264 1288 1334 1421 1624 1817 2212 2254 2291 2576 2668 2842 3248 3634 3871 4424 4508 4582 4669 5336 5684 7268 7742 8848 9016 9164 9338 10672 11368 12719 14536 15484 16037 18032 18328 18676 22736 25438 29072 30968 32074 32683 36656 37352 50876 52693 61936 64148 65366 74704 89033 101752 105386 112259 128296 130732 178066 203504 210772 224518 256592 261464 356132 368851 421544 449036 522928 712264 737702 843088 898072 1424528 1475404 1796144 2581957 2950808 5163914 5901616 10327828 20655656 41311312