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2125067424 = 253181122299
BaseRepresentation
bin111111010101001…
…1111010010100000
312111002200121110220
41332222133102200
513323004124144
6550511323040
7103442526564
oct17652372240
95432617426
102125067424
119a05aa677
124b3820480
1327b35695c
141623336a4
15c6869919
hex7ea9f4a0

2125067424 has 48 divisors (see below), whose sum is σ = 5609167200. Its totient is φ = 704436480.

The previous prime is 2125067411. The next prime is 2125067429. The reversal of 2125067424 is 4247605212.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2125067429) 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 7 ways as a sum of consecutive naturals, for example, 43774 + ... + 78525.

It is an arithmetic number, because the mean of its divisors is an integer number (116857650).

Almost surely, 22125067424 is an apocalyptic number.

2125067424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2125067424 is an abundant number, since it is smaller than the sum of its proper divisors (3484099776).

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

2125067424 is a wasteful number, since it uses less digits than its factorization.

2125067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122493 (or 122485 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2125067424 is about 46098.4535966230. The cubic root of 2125067424 is about 1285.6543925257.

The spelling of 2125067424 in words is "two billion, one hundred twenty-five million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5792 8688 17376 122299 244598 366897 489196 733794 978392 1467588 1956784 2935176 3913568 5870352 11740704 22136119 44272238 66408357 88544476 132816714 177088952 265633428 354177904 531266856 708355808 1062533712 2125067424