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414425089 = 13416411213
BaseRepresentation
bin11000101100111…
…010000000000001
31001212210222100101
4120230322000001
51322043100324
6105042322401
713161361261
oct3054720001
91055728311
10414425089
111a2a28781
12b6959401
1367b22360
143d07b7a1
15265b2944
hex18b3a001

414425089 has 16 divisors (see below), whose sum is σ = 458280144. Its totient is φ = 372326400.

The previous prime is 414425069. The next prime is 414425111. The reversal of 414425089 is 980524414.

It can be written as a sum of positive squares in 8 ways, for example, as 107474689 + 306950400 = 10367^2 + 17520^2 .

It is a cyclic number.

It is not a de Polignac number, because 414425089 - 27 = 414424961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414425069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341047 + ... + 342259.

It is an arithmetic number, because the mean of its divisors is an integer number (28642509).

Almost surely, 2414425089 is an apocalyptic number.

It is an amenable number.

414425089 is a deficient number, since it is larger than the sum of its proper divisors (43855055).

414425089 is a wasteful number, since it uses less digits than its factorization.

414425089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 414425089 is about 20357.4332615878. The cubic root of 414425089 is about 745.5589931069.

It can be divided in two parts, 414 and 425089, that added together give a triangular number (425503 = T922).

The spelling of 414425089 in words is "four hundred fourteen million, four hundred twenty-five thousand, eighty-nine".

Divisors: 1 13 41 533 641 1213 8333 15769 26281 49733 341653 646529 777533 10107929 31878853 414425089