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400149 = 32173257
BaseRepresentation
bin1100001101100010101
3202022220100
41201230111
5100301044
612324313
73254421
oct1415425
9668810
10400149
11253702
12173699
13110199
14a5b81
157d869
hex61b15

400149 has 12 divisors (see below), whose sum is σ = 583596. Its totient is φ = 264192.

The previous prime is 400123. The next prime is 400151. The reversal of 400149 is 941004.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 18225 = 618^2 + 135^2 .

It is a de Polignac number, because none of the positive numbers 2k-400149 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400149.

It is not an unprimeable number, because it can be changed into a prime (400109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (48633).

2400149 is an apocalyptic number.

It is an amenable number.

400149 is a deficient number, since it is larger than the sum of its proper divisors (183447).

400149 is a wasteful number, since it uses less digits than its factorization.

400149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 400149 is about 632.5733159089. The cubic root of 400149 is about 73.6897775153.

The spelling of 400149 in words is "four hundred thousand, one hundred forty-nine".

Divisors: 1 3 9 173 257 519 771 1557 2313 44461 133383 400149