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413513056 = 251110710979
BaseRepresentation
bin11000101001011…
…011010101100000
31001211002122021101
4120221123111200
51321324404211
6105011004144
713150542265
oct3051332540
91054078241
10413513056
111a2465530
12b6599654
13678931a8
143ccc126c
15264825c1
hex18a5b560

413513056 has 48 divisors (see below), whose sum is σ = 896495040. Its totient is φ = 186186880.

The previous prime is 413513039. The next prime is 413513071. The reversal of 413513056 is 650315314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32175 + ... + 43153.

It is an arithmetic number, because the mean of its divisors is an integer number (18676980).

Almost surely, 2413513056 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 413513056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448247520).

413513056 is an abundant number, since it is smaller than the sum of its proper divisors (482981984).

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

413513056 is a wasteful number, since it uses less digits than its factorization.

413513056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11099 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 413513056 is about 20335.0204327411. The cubic root of 413513056 is about 745.0116695618.

The spelling of 413513056 in words is "four hundred thirteen million, five hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 9416 10979 18832 21958 37664 43916 87832 120769 175664 241538 351328 483076 966152 1174753 1932304 2349506 3864608 4699012 9398024 12922283 18796048 25844566 37592096 51689132 103378264 206756528 413513056