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41408964 = 22321150249
BaseRepresentation
bin1001110111110…
…1100111000100
32212220210102100
42131331213010
541100041324
64035312100
71011653562
oct235754704
985823370
1041408964
1121413193
1211a4b630
13876ac5c
1456dca32
15397e4c9
hex277d9c4

41408964 has 18 divisors (see below), whose sum is σ = 104672750. Its totient is φ = 13802976.

The previous prime is 41408929. The next prime is 41408971. The reversal of 41408964 is 46980414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33524100 + 7884864 = 5790^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1150249 = 41408964 / (4 + 1 + 4 + 0 + 8 + 9 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575089 + ... + 575160.

Almost surely, 241408964 is an apocalyptic number.

It is an amenable number.

41408964 is an abundant number, since it is smaller than the sum of its proper divisors (63263786).

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

41408964 is a wasteful number, since it uses less digits than its factorization.

41408964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150259 (or 1150254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41408964 is about 6434.9797202478. The cubic root of 41408964 is about 345.9644344033.

The spelling of 41408964 in words is "forty-one million, four hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1150249 2300498 3450747 4600996 6901494 10352241 13802988 20704482 41408964