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808224438 = 237172714177
BaseRepresentation
bin110000001011001…
…000011010110110
32002022211001111110
4300023020122312
53123401140223
6212111015450
726012536320
oct6013103266
92068731443
10808224438
11385248a8a
121a680a586
13cb5a2518
14794aa610
154ae4dd93
hex302c86b6

808224438 has 64 divisors (see below), whose sum is σ = 1963726848. Its totient is φ = 216483840.

The previous prime is 808224437. The next prime is 808224479. The reversal of 808224438 is 834422808.

It is a junction number, because it is equal to n+sod(n) for n = 808224396 and 808224405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808224437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191406 + ... + 195582.

It is an arithmetic number, because the mean of its divisors is an integer number (30683232).

Almost surely, 2808224438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808224438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981863424).

808224438 is an abundant number, since it is smaller than the sum of its proper divisors (1155502410).

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

808224438 is a wasteful number, since it uses less digits than its factorization.

808224438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477.

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 808224438 is about 28429.2883836370. The cubic root of 808224438 is about 931.4881320178.

The spelling of 808224438 in words is "eight hundred eight million, two hundred twenty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 271 357 542 714 813 1626 1897 3794 4177 4607 5691 8354 9214 11382 12531 13821 25062 27642 29239 32249 58478 64498 71009 87717 96747 142018 175434 193494 213027 426054 497063 994126 1131967 1491189 2263934 2982378 3395901 6791802 7923769 15847538 19243439 23771307 38486878 47542614 57730317 115460634 134704073 269408146 404112219 808224438