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40449 = 397139
BaseRepresentation
bin1001111000000001
32001111010
421320001
52243244
6511133
7225633
oct117001
961433
1040449
1128432
121b4a9
1315546
1410a53
15beb9
hex9e01

40449 has 8 divisors (see below), whose sum is σ = 54880. Its totient is φ = 26496.

The previous prime is 40433. The next prime is 40459. The reversal of 40449 is 94404.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40449 - 24 = 40433 is a prime.

It is a super-2 number, since 2×404492 = 3272243202, which contains 22 as substring.

It is a Duffinian number.

40449 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40449.

It is not an unprimeable number, because it can be changed into a prime (40429) 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, 222 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

It is a Proth number, since it is equal to 79 ⋅ 29 + 1 and 79 < 29.

240449 is an apocalyptic number.

It is an amenable number.

40449 is a deficient number, since it is larger than the sum of its proper divisors (14431).

40449 is a wasteful number, since it uses less digits than its factorization.

40449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40449 is about 201.1193675408. The cubic root of 40449 is about 34.3270063016.

Adding to 40449 its sum of digits (21), we get a triangular number (40470 = T284).

The spelling of 40449 in words is "forty thousand, four hundred forty-nine".

Divisors: 1 3 97 139 291 417 13483 40449