Search a number
-
+
402114432 = 2731047173
BaseRepresentation
bin10111111101111…
…100011110000000
31001000122112022010
4113331330132000
51310420130212
6103522412520
712651626166
oct2775743600
91030575263
10402114432
11196a8a585
12b2801140
1365401b45
143b595236
152548003c
hex17f7c780

402114432 has 32 divisors (see below), whose sum is σ = 1068117480. Its totient is φ = 134038016.

The previous prime is 402114421. The next prime is 402114437. The reversal of 402114432 is 234411204.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 402114399 and 402114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402114437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523203 + ... + 523970.

Almost surely, 2402114432 is an apocalyptic number.

It is an amenable number.

402114432 is an abundant number, since it is smaller than the sum of its proper divisors (666003048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402114432 is a wasteful number, since it uses less digits than its factorization.

402114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047190 (or 1047178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 402114432 is about 20052.7911274216. The cubic root of 402114432 is about 738.1022911803.

Adding to 402114432 its reverse (234411204), we get a palindrome (636525636).

The spelling of 402114432 in words is "four hundred two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1047173 2094346 3141519 4188692 6283038 8377384 12566076 16754768 25132152 33509536 50264304 67019072 100528608 134038144 201057216 402114432