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405242253 = 32133463609
BaseRepresentation
bin11000001001111…
…000000110001101
31001020112102212100
4120021320012031
51312220223003
6104113425313
713020334203
oct3011700615
91036472770
10405242253
11198826559
12b386b239
1365c58720
143bb6b073
152589bba3
hex1827818d

405242253 has 12 divisors (see below), whose sum is σ = 630377020. Its totient is φ = 249379776.

The previous prime is 405242251. The next prime is 405242263. The reversal of 405242253 is 352242504.

It is a happy number.

405242253 is a `hidden beast` number, since 405 + 2 + 4 + 2 + 253 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30935844 + 374306409 = 5562^2 + 19347^2 .

It is not a de Polignac number, because 405242253 - 21 = 405242251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405242251) 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, 1731688 + ... + 1731921.

Almost surely, 2405242253 is an apocalyptic number.

It is an amenable number.

405242253 is a deficient number, since it is larger than the sum of its proper divisors (225134767).

405242253 is a wasteful number, since it uses less digits than its factorization.

405242253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463628 (or 3463625 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405242253 is about 20130.6297218939. The cubic root of 405242253 is about 740.0111107414.

Adding to 405242253 its reverse (352242504), we get a palindrome (757484757).

The spelling of 405242253 in words is "four hundred five million, two hundred forty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 117 3463609 10390827 31172481 45026917 135080751 405242253