Search a number
-
+
2053395216 = 243237385397
BaseRepresentation
bin111101001100100…
…0101001100010000
312022002211021200200
41322121011030100
513201132121331
6535431215200
7101612366655
oct17231051420
95262737620
102053395216
119640a7244
12493817500
13269550c72
141569d7c2c
15c040d5e6
hex7a645310

2053395216 has 60 divisors (see below), whose sum is σ = 5901984972. Its totient is φ = 665964288.

The previous prime is 2053395181. The next prime is 2053395221. The reversal of 2053395216 is 6125933502.

2053395216 is a `hidden beast` number, since 2 + 0 + 53 + 395 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1313337600 + 740057616 = 36240^2 + 27204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187371 + ... + 198026.

Almost surely, 22053395216 is an apocalyptic number.

It is an amenable number.

2053395216 is an abundant number, since it is smaller than the sum of its proper divisors (3848589756).

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

2053395216 is a wasteful number, since it uses less digits than its factorization.

2053395216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385448 (or 385439 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2053395216 is about 45314.4040675810. The cubic root of 2053395216 is about 1271.0350163051.

The spelling of 2053395216 in words is "two billion, fifty-three million, three hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 385397 770794 1156191 1541588 2312382 3083176 3468573 4624764 6166352 6937146 9249528 13874292 14259689 18499056 27748584 28519378 42779067 55497168 57038756 85558134 114077512 128337201 171116268 228155024 256674402 342232536 513348804 684465072 1026697608 2053395216