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419439424 = 26311631297
BaseRepresentation
bin11001000000000…
…010001101000000
31002020020201201111
4121000002031000
51324334030144
6105342013104
713252114315
oct3100021500
91066221644
10419439424
111a5843058
12b8577194
1368b89811
143d9c4d0c
1526c53534
hex19002340

419439424 has 56 divisors (see below), whose sum is σ = 865111808. Its totient is φ = 201553920.

The previous prime is 419439413. The next prime is 419439443. The reversal of 419439424 is 424934914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322744 + ... + 324040.

Almost surely, 2419439424 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 419439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432555904).

419439424 is an abundant number, since it is smaller than the sum of its proper divisors (445672384).

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

419439424 is a wasteful number, since it uses less digits than its factorization.

419439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1493 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 419439424 is about 20480.2203113150. The cubic root of 419439424 is about 748.5539092578.

The spelling of 419439424 in words is "four hundred nineteen million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 163 248 326 496 652 992 1297 1304 1984 2594 2608 5053 5188 5216 10106 10376 10432 20212 20752 40207 40424 41504 80414 80848 83008 160828 161696 211411 321656 323392 422822 643312 845644 1286624 1691288 2573248 3382576 6553741 6765152 13107482 13530304 26214964 52429928 104859856 209719712 419439424