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414453025 = 52721931753
BaseRepresentation
bin11000101101000…
…000110100100001
31001212212101200001
4120231000310201
51322044444100
6105043100001
713161535600
oct3055006441
91055771601
10414453025
111a2a47768
12b6971601
1367b31c9c
143d087a37
15265bad6a
hex18b40d21

414453025 has 36 divisors (see below), whose sum is σ = 601267692. Its totient is φ = 282562560.

The previous prime is 414452999. The next prime is 414453079. The reversal of 414453025 is 520354414.

It can be written as a sum of positive squares in 6 ways, for example, as 126540001 + 287913024 = 11249^2 + 16968^2 .

It is not a de Polignac number, because 414453025 - 215 = 414420257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414452984 and 414453002.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 235549 + ... + 237301.

Almost surely, 2414453025 is an apocalyptic number.

It is an amenable number.

414453025 is a deficient number, since it is larger than the sum of its proper divisors (186814667).

414453025 is a wasteful number, since it uses less digits than its factorization.

414453025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 414453025 is about 20358.1193876055. The cubic root of 414453025 is about 745.5757452041.

The spelling of 414453025 in words is "four hundred fourteen million, four hundred fifty-three thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 193 245 965 1225 1351 1753 4825 6755 8765 9457 12271 33775 43825 47285 61355 85897 236425 306775 338329 429485 1691645 2147425 2368303 8458225 11841515 16578121 59207575 82890605 414453025