Search a number
-
+
2005445424 = 243354711779
BaseRepresentation
bin111011110001000…
…1010101100110000
312011202121011221110
41313202022230300
513101343223144
6530555353320
7100461001443
oct16742125460
95152534843
102005445424
1193a026914
1247b752840
1325c632ac8
141504b565a
15bb0db0b9
hex7788ab30

2005445424 has 40 divisors (see below), whose sum is σ = 5182634560. Its totient is φ = 668236608.

The previous prime is 2005445369. The next prime is 2005445447. The reversal of 2005445424 is 4245445002.

It is a super-2 number, since 2×20054454242 = 8043622697285079552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005445391 and 2005445400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164367 + ... + 176145.

It is an arithmetic number, because the mean of its divisors is an integer number (129565864).

Almost surely, 22005445424 is an apocalyptic number.

2005445424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005445424 is an abundant number, since it is smaller than the sum of its proper divisors (3177189136).

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

2005445424 is a wasteful number, since it uses less digits than its factorization.

2005445424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2005445424 is about 44782.1998566395. The cubic root of 2005445424 is about 1261.0634810715.

The spelling of 2005445424 in words is "two billion, five million, four hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3547 7094 10641 11779 14188 21282 23558 28376 35337 42564 47116 56752 70674 85128 94232 141348 170256 188464 282696 565392 41780113 83560226 125340339 167120452 250680678 334240904 501361356 668481808 1002722712 2005445424