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413616645 = 33513235679
BaseRepresentation
bin11000101001110…
…100101000000101
31001211021220101000
4120221310220011
51321341213040
6105013123513
713151453301
oct3051645005
91054256330
10413616645
111a2526342
12b6629599
13678cb3a0
143cd0ad01
15264a3130
hex18a74a05

413616645 has 32 divisors (see below), whose sum is σ = 791884800. Its totient is φ = 203625792.

The previous prime is 413616641. The next prime is 413616653. The reversal of 413616645 is 546616314.

It is a happy number.

413616645 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 1 + 6 + 645 = 666.

It is not a de Polignac number, because 413616645 - 22 = 413616641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413616641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116085 + ... + 119594.

It is an arithmetic number, because the mean of its divisors is an integer number (24746400).

Almost surely, 2413616645 is an apocalyptic number.

413616645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413616645 is a deficient number, since it is larger than the sum of its proper divisors (378268155).

413616645 is a wasteful number, since it uses less digits than its factorization.

413616645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235706 (or 235700 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 413616645 is about 20337.5673324024. The cubic root of 413616645 is about 745.0738752320.

The spelling of 413616645 in words is "four hundred thirteen million, six hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 235679 707037 1178395 2121111 3063827 3535185 6363333 9191481 10605555 15319135 27574443 31816665 45957405 82723329 137872215 413616645