Search a number
-
+
400374253 = 1414928297
BaseRepresentation
bin10111110111010…
…011100111101101
31000220101010020001
4113313103213231
51304443434003
6103421224301
712631060606
oct2767234755
91026333201
10400374253
11196001114
12b2102091
1364c42a56
143b260dad
152523961d
hex17dd39ed

400374253 has 4 divisors (see below), whose sum is σ = 400416700. Its totient is φ = 400331808.

The previous prime is 400374241. The next prime is 400374257. The reversal of 400374253 is 352473004.

400374253 is a nontrivial binomial coefficient, being equal to C(28298, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 212080969 + 188293284 = 14563^2 + 13722^2 .

It is a 3-Lehmer number, since φ(400374253) divides (400374253-1)3.

It is a cyclic number.

It is not a de Polignac number, because 400374253 - 29 = 400373741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400374257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 28297.

It is an arithmetic number, because the mean of its divisors is an integer number (100104175).

It is a Poulet number, since it divides 2400374252-1.

Almost surely, 2400374253 is an apocalyptic number.

400374253 is the 28297-th triangular number and also the 14149-th hexagonal number.

400374253 is the 9433-rd centered nonagonal number.

It is an amenable number.

400374253 is a deficient number, since it is larger than the sum of its proper divisors (42447).

400374253 is a wasteful number, since it uses less digits than its factorization.

400374253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42446.

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 400374253 is about 20009.3541375028. The cubic root of 400374253 is about 737.0360214047.

The spelling of 400374253 in words is "four hundred million, three hundred seventy-four thousand, two hundred fifty-three".

Divisors: 1 14149 28297 400374253