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41805240 = 23352941293
BaseRepresentation
bin1001111101111…
…0010110111000
32220122221000020
42133132112320
541200231430
64052010440
71015224111
oct237362670
986587006
1041805240
1121663994
1212000a20
138879439
1457a3208
153a0bb10
hex27de5b8

41805240 has 128 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 10465280.

The previous prime is 41805233. The next prime is 41805241. The reversal of 41805240 is 4250814.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41805240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41805241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142534 + ... + 142826.

Almost surely, 241805240 is an apocalyptic number.

41805240 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 41805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

41805240 is an abundant number, since it is smaller than the sum of its proper divisors (91553160).

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

41805240 is a wasteful number, since it uses less digits than its factorization.

41805240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 41805240 is about 6465.6971781858. The cubic root of 41805240 is about 347.0645374346.

The spelling of 41805240 in words is "forty-one million, eight hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 41 58 60 82 87 116 120 123 145 164 174 205 232 246 290 293 328 348 410 435 492 580 586 615 696 820 870 879 984 1160 1172 1189 1230 1465 1640 1740 1758 2344 2378 2460 2930 3480 3516 3567 4395 4756 4920 5860 5945 7032 7134 8497 8790 9512 11720 11890 12013 14268 16994 17580 17835 23780 24026 25491 28536 33988 35160 35670 36039 42485 47560 48052 50982 60065 67976 71340 72078 84970 96104 101964 120130 127455 142680 144156 169940 180195 203928 240260 254910 288312 339880 348377 360390 480520 509820 696754 720780 1019640 1045131 1393508 1441560 1741885 2090262 2787016 3483770 4180524 5225655 6967540 8361048 10451310 13935080 20902620 41805240