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413152405 = 5110974509
BaseRepresentation
bin11000101000000…
…011010010010101
31001210102022112221
4120220003102111
51321231334110
6104555142341
713144510651
oct3050032225
91053368487
10413152405
111a2239576
12b64449b1
1367797ca3
143cc29a61
15264107da
hex18a03495

413152405 has 8 divisors (see below), whose sum is σ = 496236600. Its totient is φ = 330219456.

The previous prime is 413152393. The next prime is 413152417. The reversal of 413152405 is 504251314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413152393) and next prime (413152417).

It can be written as a sum of positive squares in 4 ways, for example, as 13712209 + 399440196 = 3703^2 + 19986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413152405 - 27 = 413152277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413152405.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 31710 + ... + 42799.

It is an arithmetic number, because the mean of its divisors is an integer number (62029575).

Almost surely, 2413152405 is an apocalyptic number.

It is an amenable number.

413152405 is a deficient number, since it is larger than the sum of its proper divisors (83084195).

413152405 is a wasteful number, since it uses less digits than its factorization.

413152405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75623.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 413152405 is about 20326.1507669308. The cubic root of 413152405 is about 744.7950158986.

The spelling of 413152405 in words is "four hundred thirteen million, one hundred fifty-two thousand, four hundred five".

Divisors: 1 5 1109 5545 74509 372545 82630481 413152405