Search a number
-
+
40947546025 = 52404712
BaseRepresentation
bin100110001000101010…
…011111011110101001
310220200201000212021201
4212020222133132221
51132330032433100
630451104004201
72646501253441
oct461052373651
9126621025251
1040947546025
1116402905431
127b29300661
133b27485399
141da6383121
1510e9ca636a
hex988a9f7a9

40947546025 has 9 divisors (see below), whose sum is σ = 50776211703. Its totient is φ = 32757227400.

The previous prime is 40947545987. The next prime is 40947546119. The reversal of 40947546025 is 52064574904.

The square root of 40947546025 is 202355.

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., 14741116569 + 26206429456 = 121413^2 + 161884^2 .

It is not a de Polignac number, because 40947546025 - 27 = 40947545897 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 991540 + ... + 1032010.

Almost surely, 240947546025 is an apocalyptic number.

40947546025 is the 202355-th square number.

40947546025 is the 101178-th centered octagonal number.

It is an amenable number.

40947546025 is a deficient number, since it is larger than the sum of its proper divisors (9828665678).

40947546025 is an frugal number, since it uses more digits than its factorization.

40947546025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80952 (or 40476 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 40947546025 in words is "forty billion, nine hundred forty-seven million, five hundred forty-six thousand, twenty-five".

Divisors: 1 5 25 40471 202355 1011775 1637901841 8189509205 40947546025