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413560832 = 212313257
BaseRepresentation
bin11000101001100…
…111000000000000
31001211012001210212
4120221213000000
51321332421312
6105012013252
713151131466
oct3051470000
91054161725
10413560832
111a2498413
12b6601228
13678abb69
143ccd4836
1526491822
hex18a67000

413560832 has 52 divisors (see below), whose sum is σ = 853960896. Its totient is φ = 200048640.

The previous prime is 413560789. The next prime is 413560837. The reversal of 413560832 is 238065314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413560837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125348 + ... + 128604.

Almost surely, 2413560832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426980448).

413560832 is an abundant number, since it is smaller than the sum of its proper divisors (440400064).

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

413560832 is an equidigital number, since it uses as much as digits as its factorization.

413560832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 413560832 is about 20336.1951210151. The cubic root of 413560832 is about 745.0403605598.

The spelling of 413560832 in words is "four hundred thirteen million, five hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3257 3968 4096 6514 7936 13028 15872 26056 31744 52112 63488 100967 104224 126976 201934 208448 403868 416896 807736 833792 1615472 1667584 3230944 3335168 6461888 6670336 12923776 13340672 25847552 51695104 103390208 206780416 413560832