Search a number
-
+
2428705425 = 352172891259
BaseRepresentation
bin1001000011000011…
…0001101010010001
320021021001000111210
42100300301222101
514433222033200
61040555330333
7114120440556
oct22060615221
96237030453
102428705425
111036a39373
125794509a9
132c9229603
141907b2a2d
15e3346650
hex90c31a91

2428705425 has 72 divisors (see below), whose sum is σ = 4316911200. Its totient is φ = 1204459520.

The previous prime is 2428705373. The next prime is 2428705429. The reversal of 2428705425 is 5245078242.

It is not a de Polignac number, because 2428705425 - 26 = 2428705361 is a prime.

It is a super-2 number, since 2×24287054252 = 11797220082848861250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2428705429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1928446 + ... + 1929704.

It is an arithmetic number, because the mean of its divisors is an integer number (59957100).

Almost surely, 22428705425 is an apocalyptic number.

2428705425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2428705425 is a deficient number, since it is larger than the sum of its proper divisors (1888205775).

2428705425 is a wasteful number, since it uses less digits than its factorization.

2428705425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 2428705425 is about 49281.8975385486. The cubic root of 2428705425 is about 1344.1826361029.

The spelling of 2428705425 in words is "two billion, four hundred twenty-eight million, seven hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 89 255 267 289 425 445 867 1259 1275 1335 1445 1513 2225 3777 4335 4539 6295 6675 7225 7565 18885 21403 21675 22695 25721 31475 37825 64209 77163 94425 107015 112051 113475 128605 321045 336153 363851 385815 535075 560255 643025 1091553 1605225 1680765 1819255 1904867 1929075 2801275 5457765 5714601 8403825 9096275 9524335 27288825 28573005 32382739 47621675 97148217 142865025 161913695 485741085 809568475 2428705425