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41290560 = 2637559
BaseRepresentation
bin1001110110000…
…0101101000000
32212200210000000
42131200231000
541032244220
64033000000
71010651433
oct235405500
985623000
1041290560
1121342233
12119b3000
1387290ac
1456ab81a
153959390
hex2760b40

41290560 has 224 divisors, whose sum is σ = 149961600. Its totient is φ = 10824192.

The previous prime is 41290541. The next prime is 41290597. The reversal of 41290560 is 6509214.

41290560 is a `hidden beast` number, since 4 + 12 + 90 + 560 = 666.

It is a super-2 number, since 2×412905602 = 3409820690227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699811 + ... + 699869.

Almost surely, 241290560 is an apocalyptic number.

41290560 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 41290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980800).

41290560 is an abundant number, since it is smaller than the sum of its proper divisors (108671040).

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

41290560 is an frugal number, since it uses more digits than its factorization.

41290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 41290560 is about 6425.7731052380. The cubic root of 41290560 is about 345.6343715815.

Adding to 41290560 its reverse (6509214), we get a palindrome (47799774).

The spelling of 41290560 in words is "forty-one million, two hundred ninety thousand, five hundred sixty".