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41241840 = 2435239719
BaseRepresentation
bin1001110101010…
…0110011110000
32212121022011120
42131110303300
541024214330
64031542240
71010356413
oct235246360
985538146
1041241840
1121309672
121198a980
13870cb73
145697b7a
153949c10
hex2754cf0

41241840 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10936576.

The previous prime is 41241803. The next prime is 41241877. The reversal of 41241840 is 4814214.

41241840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41241803) and next prime (41241877).

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

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 41241840.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57001 + ... + 57719.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 241241840 is an apocalyptic number.

41241840 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 41241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

41241840 is an abundant number, since it is smaller than the sum of its proper divisors (87321360).

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

41241840 is a wasteful number, since it uses less digits than its factorization.

41241840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 41241840 is about 6421.9810027748. The cubic root of 41241840 is about 345.4983765421.

The spelling of 41241840 in words is "forty-one million, two hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 719 956 1195 1434 1438 1912 2157 2390 2868 2876 3585 3595 3824 4314 4780 5736 5752 7170 7190 8628 9560 10785 11472 11504 14340 14380 17256 19120 21570 28680 28760 34512 43140 57360 57520 86280 171841 172560 343682 515523 687364 859205 1031046 1374728 1718410 2062092 2577615 2749456 3436820 4124184 5155230 6873640 8248368 10310460 13747280 20620920 41241840