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413919025 = 521323132
BaseRepresentation
bin11000101010111…
…110011100110001
31001211212021011021
4120222332130301
51321430402100
6105023415441
713154153002
oct3052763461
91054767137
10413919025
111a2712543
12b6754581
13679a5c00
143cd891a9
1526512a1a
hex18abe731

413919025 has 27 divisors (see below), whose sum is σ = 557559459. Its totient is φ = 304686720.

The previous prime is 413919007. The next prime is 413919031. The reversal of 413919025 is 520919314.

The square root of 413919025 is 20345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 334780209 + 79138816 = 18297^2 + 8896^2 .

It is not a de Polignac number, because 413919025 - 29 = 413918513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1322269 + ... + 1322581.

Almost surely, 2413919025 is an apocalyptic number.

413919025 is the 20345-th square number.

413919025 is the 10173-rd centered octagonal number.

It is an amenable number.

413919025 is a deficient number, since it is larger than the sum of its proper divisors (143640434).

413919025 is an equidigital number, since it uses as much as digits as its factorization.

413919025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The cubic root of 413919025 is about 745.2553964237.

The spelling of 413919025 in words is "four hundred thirteen million, nine hundred nineteen thousand, twenty-five".

Divisors: 1 5 13 25 65 169 313 325 845 1565 4069 4225 7825 20345 52897 97969 101725 264485 489845 1273597 1322425 2449225 6367985 16556761 31839925 82783805 413919025