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438820252 = 2213173167239
BaseRepresentation
bin11010001001111…
…101110110011100
31010120201101012221
4122021331312130
51344314222002
6111313235124
713605624223
oct3211756634
91116641187
10438820252
11205780172
12102b62aa4
136cbb4170
14423cbcba
15287d0c37
hex1a27dd9c

438820252 has 96 divisors (see below), whose sum is σ = 921231360. Its totient is φ = 180956160.

The previous prime is 438820237. The next prime is 438820279. The reversal of 438820252 is 252028834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835949 + ... + 1836187.

It is an arithmetic number, because the mean of its divisors is an integer number (9596160).

Almost surely, 2438820252 is an apocalyptic number.

It is an amenable number.

438820252 is an abundant number, since it is smaller than the sum of its proper divisors (482411108).

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

438820252 is a wasteful number, since it uses less digits than its factorization.

438820252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 438820252 is about 20948.0369486021. The cubic root of 438820252 is about 759.9101070964.

The spelling of 438820252 in words is "four hundred thirty-eight million, eight hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 4 13 17 26 31 34 52 62 67 68 124 134 221 239 268 403 442 478 527 806 871 884 956 1054 1139 1612 1742 2077 2108 2278 3107 3484 4063 4154 4556 6214 6851 7409 8126 8308 12428 13702 14807 14818 16013 16252 27001 27404 29614 29636 32026 35309 52819 54002 59228 64052 70618 96317 105638 108004 125953 141236 192634 208169 211276 251906 272221 385268 416338 459017 496403 503812 544442 832676 918034 992806 1088884 1637389 1836068 1985612 3274778 3538873 6453239 6549556 7077746 8438851 12906478 14155492 16877702 25812956 33755404 109705063 219410126 438820252