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413809884 = 22344131151
BaseRepresentation
bin11000101010100…
…011110011011100
31001211122201110000
4120222203303130
51321413404014
6105021214300
713153216545
oct3052436334
91054581400
10413809884
111a2648544
12b6701390
1367968327
143cd5b4cc
15264e0509
hex18aa3cdc

413809884 has 60 divisors (see below), whose sum is σ = 1108201248. Its totient is φ = 134568000.

The previous prime is 413809883. The next prime is 413809897. The reversal of 413809884 is 488908314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413809883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2292 + ... + 28859.

Almost surely, 2413809884 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 413809884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554100624).

413809884 is an abundant number, since it is smaller than the sum of its proper divisors (694391364).

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

413809884 is a wasteful number, since it uses less digits than its factorization.

413809884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31208 (or 31197 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 413809884 is about 20342.3175670817. The cubic root of 413809884 is about 745.1898883861.

The spelling of 413809884 in words is "four hundred thirteen million, eight hundred nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 31151 62302 93453 124604 186906 280359 373812 560718 841077 1121436 1277191 1682154 2523231 2554382 3364308 3831573 5046462 5108764 7663146 10092924 11494719 15326292 22989438 34484157 45978876 68968314 103452471 137936628 206904942 413809884