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409145936 = 24173148523
BaseRepresentation
bin11000011000110…
…001001001010000
31001111212202201012
4120120301021100
51314220132221
6104333230052
713065453203
oct3030611120
91044782635
10409145936
1119aa52441
12b5032328
13669c44b4
143c4a593a
1525dbd65b
hex18631250

409145936 has 40 divisors (see below), whose sum is σ = 866444544. Its totient is φ = 186324480.

The previous prime is 409145899. The next prime is 409145939. The reversal of 409145936 is 639541904.

It is a junction number, because it is equal to n+sod(n) for n = 409145893 and 409145902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409145939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15830 + ... + 32693.

Almost surely, 2409145936 is an apocalyptic number.

It is an amenable number.

409145936 is an abundant number, since it is smaller than the sum of its proper divisors (457298608).

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

409145936 is a wasteful number, since it uses less digits than its factorization.

409145936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48579 (or 48573 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 409145936 is about 20227.3561297566. The cubic root of 409145936 is about 742.3796876410.

The spelling of 409145936 in words is "four hundred nine million, one hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 48523 97046 194092 388184 776368 824891 1504213 1649782 3008426 3299564 6016852 6599128 12033704 13198256 24067408 25571621 51143242 102286484 204572968 409145936