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41155080 = 2335477297
BaseRepresentation
bin1001110011111…
…1101000001000
32212102220011020
42130333220020
541013430310
64030032440
71006545441
oct234775010
985386136
1041155080
112125a46a
1211948720
1386ac525
1456742c8
15392e170
hex273fa08

41155080 has 64 divisors (see below), whose sum is σ = 126109440. Its totient is φ = 10739712.

The previous prime is 41155069. The next prime is 41155087. The reversal of 41155080 is 8055114.

41155080 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41155080.

It is not an unprimeable number, because it can be changed into a prime (41155087) 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 15 ways as a sum of consecutive naturals, for example, 1992 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (1970460).

Almost surely, 241155080 is an apocalyptic number.

41155080 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 41155080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63054720).

41155080 is an abundant number, since it is smaller than the sum of its proper divisors (84954360).

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

41155080 is a wasteful number, since it uses less digits than its factorization.

41155080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 41155080 is about 6415.2225214719. Note that the first 3 decimals coincide. The cubic root of 41155080 is about 345.2559327567.

The spelling of 41155080 in words is "forty-one million, one hundred fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 7297 14594 21891 29188 36485 43782 58376 72970 87564 109455 145940 175128 218910 291880 342959 437820 685918 875640 1028877 1371836 1714795 2057754 2743672 3429590 4115508 5144385 6859180 8231016 10288770 13718360 20577540 41155080