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41293840 = 2457193881
BaseRepresentation
bin1001110110000…
…1100000010000
32212200221111111
42131201200100
541032400330
64033023104
71010664130
oct235414020
985627444
1041293840
1121344745
12119b4a94
13872a733
1456acac0
15395a32a
hex2761810

41293840 has 80 divisors (see below), whose sum is σ = 115528320. Its totient is φ = 13409280.

The previous prime is 41293831. The next prime is 41293841. The reversal of 41293840 is 4839214.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (41293841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8700 + ... + 12580.

It is an arithmetic number, because the mean of its divisors is an integer number (1444104).

Almost surely, 241293840 is an apocalyptic number.

41293840 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 41293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57764160).

41293840 is an abundant number, since it is smaller than the sum of its proper divisors (74234480).

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

41293840 is a wasteful number, since it uses less digits than its factorization.

41293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 41293840 is about 6426.0283223777. The cubic root of 41293840 is about 345.6435233966.

The spelling of 41293840 in words is "forty-one million, two hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 3881 5320 7762 10640 15524 19405 27167 31048 38810 54334 62096 73739 77620 108668 135835 147478 155240 217336 271670 294956 310480 368695 434672 516173 543340 589912 737390 1032346 1086680 1179824 1474780 2064692 2173360 2580865 2949560 4129384 5161730 5899120 8258768 10323460 20646920 41293840