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415319148 = 223211536643
BaseRepresentation
bin11000110000010…
…100010001101100
31001221111101202200
4120300110101230
51322310203043
6105113421500
713202103666
oct3060242154
91057441680
10415319148
111a3489472
12b710a890
136807629a
143d231536
15266dc7d3
hex18c1446c

415319148 has 18 divisors (see below), whose sum is σ = 1049834604. Its totient is φ = 138439704.

The previous prime is 415319141. The next prime is 415319227. The reversal of 415319148 is 841913514.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11536643 = 415319148 / (4 + 1 + 5 + 3 + 1 + 9 + 1 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (415319141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5768286 + ... + 5768357.

Almost surely, 2415319148 is an apocalyptic number.

It is an amenable number.

415319148 is an abundant number, since it is smaller than the sum of its proper divisors (634515456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415319148 is a wasteful number, since it uses less digits than its factorization.

415319148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536653 (or 11536648 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 415319148 is about 20379.3804616333. The cubic root of 415319148 is about 746.0947513380.

The spelling of 415319148 in words is "four hundred fifteen million, three hundred nineteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 11536643 23073286 34609929 46146572 69219858 103829787 138439716 207659574 415319148