Search a number
-
+
2788368025 = 525921792
BaseRepresentation
bin1010011000110011…
…0001111010011001
321012022210202211211
42212030301322121
521202310234100
61140404223121
7126045510562
oct24614617231
97168722754
102788368025
111200a63193
1265999aaa1
133558b6911
141c6477169
15114bdd1ba
hexa6331e99

2788368025 has 27 divisors (see below), whose sum is σ = 3536931391. Its totient is φ = 2180635280.

The previous prime is 2788367983. The next prime is 2788368031. The reversal of 2788368025 is 5208638872.

It is a happy number.

The square root of 2788368025 is 52805.

It is a perfect power (a square), and thus also a powerful number.

2788368025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1003812489 + 1784555536 = 31683^2 + 42244^2 .

It is a de Polignac number, because none of the positive numbers 2k-2788368025 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2788368025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15577386 + ... + 15577564.

Almost surely, 22788368025 is an apocalyptic number.

2788368025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2788368025 is the 52805-th square number.

2788368025 is the 26403-rd centered octagonal number.

It is an amenable number.

2788368025 is a deficient number, since it is larger than the sum of its proper divisors (748563366).

2788368025 is an frugal number, since it uses more digits than its factorization.

2788368025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The cubic root of 2788368025 is about 1407.5052754698.

Multiplying 2788368025 by its sum of digits (49), we get a square (136630033225 = 3696352).

The spelling of 2788368025 in words is "two billion, seven hundred eighty-eight million, three hundred sixty-eight thousand, twenty-five".

Divisors: 1 5 25 59 179 295 895 1475 3481 4475 10561 17405 32041 52805 87025 160205 264025 623099 801025 1890419 3115495 9452095 15577475 47260475 111534721 557673605 2788368025