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415433424 = 24376120269
BaseRepresentation
bin11000110000110…
…000001011010000
31001221201012112010
4120300300023100
51322322332144
6105120102520
713203061110
oct3060601320
91057635463
10415433424
111a355730a
12b7164a40
13680b62c3
143d261040
15267115b9
hex18c302d0

415433424 has 80 divisors (see below), whose sum is σ = 1246686080. Its totient is φ = 116743680.

The previous prime is 415433413. The next prime is 415433441. The reversal of 415433424 is 424334514.

It is a junction number, because it is equal to n+sod(n) for n = 415433391 and 415433400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10362 + ... + 30630.

It is an arithmetic number, because the mean of its divisors is an integer number (15583576).

Almost surely, 2415433424 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 415433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623343040).

415433424 is an abundant number, since it is smaller than the sum of its proper divisors (831252656).

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

415433424 is a wasteful number, since it uses less digits than its factorization.

415433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20348 (or 20342 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 415433424 is about 20382.1839850395. The cubic root of 415433424 is about 746.1631749471.

Adding to 415433424 its reverse (424334514), we get a palindrome (839767938).

The spelling of 415433424 in words is "four hundred fifteen million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20269 20496 40538 60807 81076 121614 141883 162152 243228 283766 324304 425649 486456 567532 851298 972912 1135064 1236409 1702596 2270128 2472818 3405192 3709227 4945636 6810384 7418454 8654863 9891272 14836908 17309726 19782544 25964589 29673816 34619452 51929178 59347632 69238904 103858356 138477808 207716712 415433424