Search a number
-
+
2078727568 = 24312135193
BaseRepresentation
bin111101111100110…
…1101110110010000
312100212111022010221
41323321231312100
513224123240233
6542134202424
7102340615141
oct17371556620
95325438127
102078727568
11977429875
124a01b3414
13271880518
1415a10dac8
15c276442d
hex7be6dd90

2078727568 has 30 divisors (see below), whose sum is σ = 4161676902. Its totient is φ = 1005828480.

The previous prime is 2078727559. The next prime is 2078727587. The reversal of 2078727568 is 8657278702.

It can be written as a sum of positive squares in only one way, i.e., 1959655824 + 119071744 = 44268^2 + 10912^2 .

It is a super-2 number, since 2×20787275682 = 8642216603926389248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52221 + ... + 82972.

Almost surely, 22078727568 is an apocalyptic number.

It is an amenable number.

2078727568 is an abundant number, since it is smaller than the sum of its proper divisors (2082949334).

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

2078727568 is a wasteful number, since it uses less digits than its factorization.

2078727568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135263 (or 135226 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The square root of 2078727568 is about 45593.0649112340. The cubic root of 2078727568 is about 1276.2405085114.

The spelling of 2078727568 in words is "two billion, seventy-eight million, seven hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 135193 270386 540772 1081544 2163088 4190983 8381966 16763932 33527864 67055728 129920473 259840946 519681892 1039363784 2078727568