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41331612 = 22371922947
BaseRepresentation
bin1001110110101…
…0101110011100
32212202212022110
42131222232130
541040102422
64033514020
71011212220
oct235525634
985685273
1041331612
1121370063
1211a12910
13874199a
1456bc780
15396660c
hex276ab9c

41331612 has 144 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 10571904.

The previous prime is 41331611. The next prime is 41331613. The reversal of 41331612 is 21613314.

It is an interprime number because it is at equal distance from previous prime (41331611) and next prime (41331613).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879373 + ... + 879419.

It is an arithmetic number, because the mean of its divisors is an integer number (853440).

Almost surely, 241331612 is an apocalyptic number.

41331612 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 41331612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

41331612 is an abundant number, since it is smaller than the sum of its proper divisors (81563748).

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

41331612 is a wasteful number, since it uses less digits than its factorization.

41331612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 41331612 is about 6428.9666354711. The cubic root of 41331612 is about 345.7488794535.

Adding to 41331612 its reverse (21613314), we get a palindrome (62944926).

The spelling of 41331612 in words is "forty-one million, three hundred thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 47 57 58 76 84 87 94 114 116 133 141 174 188 203 228 266 282 329 348 361 399 406 532 551 564 609 658 722 798 812 893 987 1083 1102 1218 1316 1363 1444 1596 1653 1786 1974 2166 2204 2436 2527 2679 2726 3306 3572 3857 3948 4089 4332 5054 5358 5452 6251 6612 7581 7714 8178 9541 10108 10469 10716 11571 12502 15162 15428 16356 16967 18753 19082 20938 23142 25004 25897 28623 30324 31407 33934 37506 38164 41876 46284 50901 51794 57246 62814 67868 73283 75012 77691 101802 103588 114492 118769 125628 146566 155382 181279 203604 219849 237538 293132 310764 356307 362558 439698 475076 492043 543837 712614 725116 879396 984086 1087674 1425228 1476129 1968172 2175348 2952258 3444301 5904516 6888602 10332903 13777204 20665806 41331612