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41674960 = 245539829
BaseRepresentation
bin1001111011111…
…0100011010000
32220102022022001
42132332203100
541132044320
64045123344
71014142225
oct236764320
986368261
1041674960
1121585018
1211b59554
138832052
14576b94c
1539d320a
hex27be8d0

41674960 has 40 divisors (see below), whose sum is σ = 98732520. Its totient is φ = 16353792.

The previous prime is 41674957. The next prime is 41674967. The reversal of 41674960 is 6947614.

It can be written as a sum of positive squares in 4 ways, for example, as 16353936 + 25321024 = 4044^2 + 5032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41674967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 9154.

It is an arithmetic number, because the mean of its divisors is an integer number (2468313).

Almost surely, 241674960 is an apocalyptic number.

41674960 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 41674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49366260).

41674960 is an abundant number, since it is smaller than the sum of its proper divisors (57057560).

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

41674960 is a wasteful number, since it uses less digits than its factorization.

41674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 41674960 is about 6455.6146105541. The cubic root of 41674960 is about 346.7036367541.

The spelling of 41674960 in words is "forty-one million, six hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 9829 19658 39316 49145 78632 98290 157264 196580 393160 520937 786320 1041874 2083748 2604685 4167496 5209370 8334992 10418740 20837480 41674960