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41085912 = 233742331
BaseRepresentation
bin1001110010111…
…0101111011000
32212022101021110
42130232233120
541004222122
64024340320
71006140000
oct234565730
985271243
1041085912
11212124aa
12119146a0
138686bba
145657000
15391890c
hex272ebd8

41085912 has 160 divisors (see below), whose sum is σ = 129070080. Its totient is φ = 10866240.

The previous prime is 41085911. The next prime is 41085917. The reversal of 41085912 is 21958014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41085912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41085911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1325337 + ... + 1325367.

It is an arithmetic number, because the mean of its divisors is an integer number (806688).

Almost surely, 241085912 is an apocalyptic number.

41085912 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 41085912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64535040).

41085912 is an abundant number, since it is smaller than the sum of its proper divisors (87984168).

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

41085912 is a wasteful number, since it uses less digits than its factorization.

41085912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 41085912 is about 6409.8293269010. The cubic root of 41085912 is about 345.0624041705.

It can be divided in two parts, 410859 and 12, that added together give a triangular number (410871 = T906).

The spelling of 41085912 in words is "forty-one million, eighty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 49 56 62 69 84 92 93 98 124 138 147 161 168 184 186 196 217 248 276 294 322 343 372 392 434 483 552 588 644 651 686 713 744 868 966 1029 1127 1176 1288 1302 1372 1426 1519 1736 1932 2058 2139 2254 2401 2604 2744 2852 3038 3381 3864 4116 4278 4508 4557 4802 4991 5208 5704 6076 6762 7203 7889 8232 8556 9016 9114 9604 9982 10633 12152 13524 14406 14973 15778 17112 18228 19208 19964 21266 23667 27048 28812 29946 31556 31899 34937 36456 39928 42532 47334 55223 57624 59892 63112 63798 69874 74431 85064 94668 104811 110446 119784 127596 139748 148862 165669 189336 209622 220892 223293 244559 255192 279496 297724 331338 419244 441784 446586 489118 595448 662676 733677 838488 893172 978236 1325352 1467354 1711913 1786344 1956472 2934708 3423826 5135739 5869416 6847652 10271478 13695304 20542956 41085912