Search a number
-
+
2400402004 = 2272111385643
BaseRepresentation
bin1000111100010011…
…0011101001010100
320012021210001111221
42033010303221110
514404000331004
61034104540124
7113325036400
oct21704635124
96167701457
102400402004
111021a67610
1256ba81644
132c33c9920
1418ab26100
15e0b05354
hex8f133a54

2400402004 has 72 divisors (see below), whose sum is σ = 5740888608. Its totient is φ = 863271360.

The previous prime is 2400401999. The next prime is 2400402041. The reversal of 2400402004 is 4002040042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14794 + ... + 70849.

It is an arithmetic number, because the mean of its divisors is an integer number (79734564).

Almost surely, 22400402004 is an apocalyptic number.

It is an amenable number.

2400402004 is an abundant number, since it is smaller than the sum of its proper divisors (3340486604).

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

2400402004 is a wasteful number, since it uses less digits than its factorization.

2400402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85685 (or 85676 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400402004 is about 48993.8976200098. The cubic root of 2400402004 is about 1338.9406500808.

Adding to 2400402004 its reverse (4002040042), we get a palindrome (6402442046).

It can be divided in two parts, 2400 and 402004, that added together give a palindrome (404404).

The spelling of 2400402004 in words is "two billion, four hundred million, four hundred two thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 85643 171286 342572 599501 942073 1113359 1199002 1884146 2226718 2398004 3768292 4196507 4453436 6594511 7793513 8393014 12246949 13189022 15587026 16786028 24493898 26378044 31174052 46161577 48987796 54554591 85728643 92323154 109109182 171457286 184646308 218218364 342914572 600100501 1200201002 2400402004