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2400042402 = 232133335689
BaseRepresentation
bin1000111100001101…
…1011110110100010
320012021002210020100
42033003123312202
514403402324102
61034053123230
7113322011112
oct21703336642
96167083210
102400042402
11102184141a
1256b929516
132c3302044
1418aa71042
15e0a83a1c
hex8f0dbda2

2400042402 has 12 divisors (see below), whose sum is σ = 5200091910. Its totient is φ = 800014128.

The previous prime is 2400042391. The next prime is 2400042409. The reversal of 2400042402 is 2042400042.

2400042402 is a `hidden beast` number, since 240 + 0 + 0 + 424 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1705772601 + 694269801 = 41301^2 + 26349^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 133335689 = 2400042402 / (2 + 4 + 0 + 0 + 0 + 4 + 2 + 4 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (2400042409) 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 5 ways as a sum of consecutive naturals, for example, 66667827 + ... + 66667862.

Almost surely, 22400042402 is an apocalyptic number.

2400042402 is an abundant number, since it is smaller than the sum of its proper divisors (2800049508).

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

2400042402 is a wasteful number, since it uses less digits than its factorization.

2400042402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133335697 (or 133335694 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2400042402 is about 48990.2276173524. The cubic root of 2400042402 is about 1338.8737849223.

Adding to 2400042402 its reverse (2042400042), we get a palindrome (4442442444).

The spelling of 2400042402 in words is "two billion, four hundred million, forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 133335689 266671378 400007067 800014134 1200021201 2400042402