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41565780 = 22325534357
BaseRepresentation
bin1001111010001…
…1111001010100
32220012202112100
42132203321110
541120101110
64042522100
71013206014
oct236437124
986182470
1041565780
112150aa93
1211b06330
1387c4449
14573dc44
1539b0bc0
hex27a3e54

41565780 has 72 divisors (see below), whose sum is σ = 128491272. Its totient is φ = 10872576.

The previous prime is 41565773. The next prime is 41565781. The reversal of 41565780 is 8756514.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 19607184 = 4686^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41565781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7362 + ... + 11718.

It is an arithmetic number, because the mean of its divisors is an integer number (1784601).

Almost surely, 241565780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41565780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64245636).

41565780 is an abundant number, since it is smaller than the sum of its proper divisors (86925492).

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

41565780 is a wasteful number, since it uses less digits than its factorization.

41565780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 41565780 is about 6447.1528599840. The cubic root of 41565780 is about 346.4006074123.

The spelling of 41565780 in words is "forty-one million, five hundred sixty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4357 4770 8714 9540 13071 17428 21785 26142 39213 43570 52284 65355 78426 87140 130710 156852 196065 230921 261420 392130 461842 692763 784260 923684 1154605 1385526 2078289 2309210 2771052 3463815 4156578 4618420 6927630 8313156 10391445 13855260 20782890 41565780