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413114250 = 23533714887
BaseRepresentation
bin11000100111111…
…001111110001010
31001210100101012210
4120213321332022
51321224124000
6104554245550
713144261503
oct3047717612
91053311183
10413114250
111a221293a
12b64268b6
1367783803
143cc19baa
1526404350
hex189f9f8a

413114250 has 64 divisors (see below), whose sum is σ = 1059072768. Its totient is φ = 107179200.

The previous prime is 413114203. The next prime is 413114269. The reversal of 413114250 is 52411314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20307 + ... + 35193.

It is an arithmetic number, because the mean of its divisors is an integer number (16548012).

Almost surely, 2413114250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413114250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529536384).

413114250 is an abundant number, since it is smaller than the sum of its proper divisors (645958518).

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

413114250 is a wasteful number, since it uses less digits than its factorization.

413114250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413114250 is about 20325.2121760143. The cubic root of 413114250 is about 744.7720876939.

Adding to 413114250 its reverse (52411314), we get a palindrome (465525564).

It can be divided in two parts, 4131 and 14250, that added together give a palindrome (18381).

The spelling of 413114250 in words is "four hundred thirteen million, one hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 125 150 185 222 250 370 375 555 750 925 1110 1850 2775 4625 5550 9250 13875 14887 27750 29774 44661 74435 89322 148870 223305 372175 446610 550819 744350 1101638 1116525 1652457 1860875 2233050 2754095 3304914 3721750 5508190 5582625 8262285 11165250 13770475 16524570 27540950 41311425 68852375 82622850 137704750 206557125 413114250