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2038071025 = 5290292
BaseRepresentation
bin111100101111010…
…0111111011110001
312021000222201212001
41321132213323301
513133221233100
6534122534001
7101335214014
oct17136477361
95230881761
102038071025
1195648aa21
1248a667301
13266316bb3
1415496937b
15bddd2d6a
hex797a7ef1

2038071025 has 9 divisors (see below), whose sum is σ = 2527488001. Its totient is φ = 1630276240.

The previous prime is 2038070999. The next prime is 2038071029. The reversal of 2038071025 is 5201708302.

The square root of 2038071025 is 45145.

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

2038071025 is digitally balanced in base 6, 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 4 ways, for example, as 652444849 + 1385626176 = 25543^2 + 37224^2 .

It is not a de Polignac number, because 2038071025 - 29 = 2038070513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2038070984 and 2038071002.

It is not an unprimeable number, because it can be changed into a prime (2038071029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221211 + ... + 230239.

Almost surely, 22038071025 is an apocalyptic number.

2038071025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2038071025 is the 45145-th square number.

2038071025 is the 22573-rd centered octagonal number.

It is an amenable number.

2038071025 is a deficient number, since it is larger than the sum of its proper divisors (489416976).

2038071025 is an frugal number, since it uses more digits than its factorization.

2038071025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The cubic root of 2038071025 is about 1267.8652679957.

Adding to 2038071025 its reverse (5201708302), we get a palindrome (7239779327).

The spelling of 2038071025 in words is "two billion, thirty-eight million, seventy-one thousand, twenty-five".

Divisors: 1 5 25 9029 45145 225725 81522841 407614205 2038071025