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485972145 = 32510799381
BaseRepresentation
bin11100111101110…
…101100010110001
31020212102221110100
4130331311202301
51443402102040
6120120023013
715020460261
oct3475654261
91225387410
10485972145
1122a35607a
12116901a69
13798b30a9
14487837a1
152c9e6b30
hex1cf758b1

485972145 has 12 divisors (see below), whose sum is σ = 842351796. Its totient is φ = 259185120.

The previous prime is 485972131. The next prime is 485972147. The reversal of 485972145 is 541279584.

485972145 is a `hidden beast` number, since 48 + 597 + 2 + 14 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183629601 + 302342544 = 13551^2 + 17388^2 .

It is not a de Polignac number, because 485972145 - 210 = 485971121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10799381 = 485972145 / (4 + 8 + 5 + 9 + 7 + 2 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 485972145.

It is not an unprimeable number, because it can be changed into a prime (485972147) 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 11 ways as a sum of consecutive naturals, for example, 5399646 + ... + 5399735.

It is an arithmetic number, because the mean of its divisors is an integer number (70195983).

Almost surely, 2485972145 is an apocalyptic number.

485972145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

485972145 is a deficient number, since it is larger than the sum of its proper divisors (356379651).

485972145 is a wasteful number, since it uses less digits than its factorization.

485972145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799392 (or 10799389 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 485972145 is about 22044.7759117665. The cubic root of 485972145 is about 786.2073972449.

The spelling of 485972145 in words is "four hundred eighty-five million, nine hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 10799381 32398143 53996905 97194429 161990715 485972145