Search a number
-
+
39838962409 = 1725921992
BaseRepresentation
bin100101000110100101…
…100101001011101001
310210211110000222110021
4211012211211023221
51123042233244114
630145103120441
72610150410311
oct450645451351
9123743028407
1039838962409
1115994068124
127879ba3121
1339ab8ba74c
141cdd04c441
1510827c7024
hex9469652e9

39838962409 has 27 divisors (see below), whose sum is σ = 43267149687. Its totient is φ = 36674751168.

The previous prime is 39838962407. The next prime is 39838962419. The reversal of 39838962409 is 90426983893.

The square root of 39838962409 is 199597.

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

It can be written as a sum of positive squares in only one way, i.e., 31016493225 + 8822469184 = 176115^2 + 93928^2 .

It is not a de Polignac number, because 39838962409 - 21 = 39838962407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39838962407) 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 26 ways as a sum of consecutive naturals, for example, 200195692 + ... + 200195890.

Almost surely, 239838962409 is an apocalyptic number.

39838962409 is the 199597-th square number.

39838962409 is the 99799-th centered octagonal number.

It is an amenable number.

39838962409 is a deficient number, since it is larger than the sum of its proper divisors (3428187278).

39838962409 is an frugal number, since it uses more digits than its factorization.

39838962409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 39838962409 in words is "thirty-nine billion, eight hundred thirty-eight million, nine hundred sixty-two thousand, four hundred nine".

Divisors: 1 17 59 199 289 1003 3383 3481 11741 17051 39601 57511 59177 199597 673217 692719 1006009 2336459 3393149 11444689 11776223 39719803 137851081 200195791 675236651 2343468377 39838962409