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419411525 = 52132531873
BaseRepresentation
bin11000111111111…
…011011001000101
31002020012022110012
4120333323121011
51324332132100
6105341240005
713251640061
oct3077733105
91066168405
10419411525
111a58240a5
12b8563005
1368b79c00
143d9b8aa1
1526c4a135
hex18ffb645

419411525 has 36 divisors (see below), whose sum is σ = 574084908. Its totient is φ = 303713280.

The previous prime is 419411519. The next prime is 419411537. The reversal of 419411525 is 525114914.

It can be written as a sum of positive squares in 18 ways, for example, as 418079809 + 1331716 = 20447^2 + 1154^2 .

It is not a de Polignac number, because 419411525 - 222 = 415217221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 419411491 and 419411500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222989 + ... + 224861.

It is an arithmetic number, because the mean of its divisors is an integer number (15946803).

Almost surely, 2419411525 is an apocalyptic number.

It is an amenable number.

419411525 is a deficient number, since it is larger than the sum of its proper divisors (154673383).

419411525 is a wasteful number, since it uses less digits than its factorization.

419411525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1944 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 419411525 is about 20479.5391793858. The cubic root of 419411525 is about 748.5373122100.

The spelling of 419411525 in words is "four hundred nineteen million, four hundred eleven thousand, five hundred twenty-five".

Divisors: 1 5 13 25 53 65 169 265 325 689 845 1325 1873 3445 4225 8957 9365 17225 24349 44785 46825 99269 121745 223925 316537 496345 608725 1290497 1582685 2481725 6452485 7913425 16776461 32262425 83882305 419411525