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41889960 = 2334571847
BaseRepresentation
bin1001111111001…
…1000010101000
32220211020020000
42133303002220
541210434320
64053503000
71016026110
oct237630250
986736200
1041889960
1121711602
1212041a60
1388a8b78
1457c6040
153a26c90
hex27f30a8

41889960 has 160 divisors (see below), whose sum is σ = 160997760. Its totient is φ = 9569664.

The previous prime is 41889937. The next prime is 41889961. The reversal of 41889960 is 6998814.

41889960 = T401 + T402 + ... + T680.

41889960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41889961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21757 + ... + 23603.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 241889960 is an apocalyptic number.

41889960 is a gapful number since it is divisible by the number (40) 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 41889960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498880).

41889960 is an abundant number, since it is smaller than the sum of its proper divisors (119107800).

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

41889960 is a wasteful number, since it uses less digits than its factorization.

41889960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 41889960 is about 6472.2453599968. The cubic root of 41889960 is about 347.2988259880.

It can be divided in two parts, 41889 and 960, that added together give a square (42849 = 2072).

The spelling of 41889960 in words is "forty-one million, eight hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1847 1890 2268 2520 2835 3240 3694 3780 4536 5541 5670 7388 7560 9235 11082 11340 12929 14776 16623 18470 22164 22680 25858 27705 33246 36940 38787 44328 49869 51716 55410 64645 66492 73880 77574 83115 99738 103432 110820 116361 129290 132984 149607 155148 166230 193935 199476 221640 232722 249345 258580 299214 310296 332460 349083 387870 398952 465444 498690 517160 581805 598428 664920 698166 748035 775740 930888 997380 1047249 1163610 1196856 1396332 1496070 1551480 1745415 1994760 2094498 2327220 2792664 2992140 3490830 4188996 4654440 5236245 5984280 6981660 8377992 10472490 13963320 20944980 41889960