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413549352 = 23325743741
BaseRepresentation
bin11000101001100…
…100001100101000
31001211011111001200
4120221210030220
51321332034402
6105011444200
713151053146
oct3051441450
91054144050
10413549352
111a248a827
12b65b6660
13678a6878
143ccd0596
152648d21c
hex18a64328

413549352 has 24 divisors (see below), whose sum is σ = 1120029690. Its totient is φ = 137849760.

The previous prime is 413549347. The next prime is 413549359. The reversal of 413549352 is 253945314.

It can be written as a sum of positive squares in only one way, i.e., 256448196 + 157101156 = 16014^2 + 12534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413549359) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2871799 + ... + 2871942.

Almost surely, 2413549352 is an apocalyptic number.

It is an amenable number.

413549352 is an abundant number, since it is smaller than the sum of its proper divisors (706480338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413549352 is a wasteful number, since it uses less digits than its factorization.

413549352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743753 (or 5743746 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 413549352 is about 20335.9128637000. The cubic root of 413549352 is about 745.0334666587.

The spelling of 413549352 in words is "four hundred thirteen million, five hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5743741 11487482 17231223 22974964 34462446 45949928 51693669 68924892 103387338 137849784 206774676 413549352