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41812240 = 2451573329
BaseRepresentation
bin1001111110000…
…0000100010000
32220200021121111
42133200010100
541200442430
64052103104
71015253401
oct237400420
986607544
1041812240
1121669178
1212004a94
13887c692
1457a59a8
153a0dc2a
hex27e0110

41812240 has 40 divisors (see below), whose sum is σ = 97862040. Its totient is φ = 16613376.

The previous prime is 41812219. The next prime is 41812241. The reversal of 41812240 is 4221814.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 40755456 = 1028^2 + 6384^2 .

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 (41812241) 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, 10896 + ... + 14224.

It is an arithmetic number, because the mean of its divisors is an integer number (2446551).

Almost surely, 241812240 is an apocalyptic number.

41812240 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 41812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48931020).

41812240 is an abundant number, since it is smaller than the sum of its proper divisors (56049800).

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

41812240 is a wasteful number, since it uses less digits than its factorization.

41812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 41812240 is about 6466.2384737960. The cubic root of 41812240 is about 347.0839075437.

The spelling of 41812240 in words is "forty-one million, eight hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 3329 6280 6658 12560 13316 16645 26632 33290 53264 66580 133160 266320 522653 1045306 2090612 2613265 4181224 5226530 8362448 10453060 20906120 41812240