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400293 = 3279563
BaseRepresentation
bin1100001101110100101
3202100002200
41201232211
5100302133
612325113
73255015
oct1415645
9670080
10400293
11253823
12173799
1311027a
14a5c45
157d913
hex61ba5

400293 has 12 divisors (see below), whose sum is σ = 586560. Its totient is φ = 263016.

The previous prime is 400291. The next prime is 400297. The reversal of 400293 is 392004.

It is not a de Polignac number, because 400293 - 21 = 400291 is a prime.

It is a Curzon number.

400293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400291) 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, 430 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (48880).

2400293 is an apocalyptic number.

It is an amenable number.

400293 is a deficient number, since it is larger than the sum of its proper divisors (186267).

400293 is a wasteful number, since it uses less digits than its factorization.

400293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 400293 is about 632.6871264693. The cubic root of 400293 is about 73.6986159358.

Adding to 400293 its reverse (392004), we get a palindrome (792297).

It can be divided in two parts, 4002 and 93, that added together give a triangular number (4095 = T90).

The spelling of 400293 in words is "four hundred thousand, two hundred ninety-three".

Divisors: 1 3 9 79 237 563 711 1689 5067 44477 133431 400293