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393489252 = 223413103907
BaseRepresentation
bin10111011101000…
…010101101100100
31000102102022210000
4113131002231210
51301213124002
6103013501300
712515413662
oct2735025544
91012368700
10393489252
11192129332
12ab941830
13636a1ca0
143a38bc32
152482961c
hex17742b64

393489252 has 120 divisors (see below), whose sum is σ = 1119774656. Its totient is φ = 119765952.

The previous prime is 393489227. The next prime is 393489253. The reversal of 393489252 is 252984393.

It is a happy number.

393489252 is a `hidden beast` number, since 393 + 4 + 8 + 9 + 252 = 666.

It is a super-3 number, since 3×3934892523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 393489198 and 393489207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393489253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433383 + ... + 434289.

Almost surely, 2393489252 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 393489252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559887328).

393489252 is an abundant number, since it is smaller than the sum of its proper divisors (726285404).

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

393489252 is a wasteful number, since it uses less digits than its factorization.

393489252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 393489252 is about 19836.5635128668. The cubic root of 393489252 is about 732.7867783356.

The spelling of 393489252 in words is "three hundred ninety-three million, four hundred eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 103 108 117 156 162 206 234 309 324 351 412 468 618 702 907 927 1053 1236 1339 1404 1814 1854 2106 2678 2721 2781 3628 3708 4017 4212 5356 5442 5562 8034 8163 8343 10884 11124 11791 12051 16068 16326 16686 23582 24102 24489 32652 33372 35373 36153 47164 48204 48978 70746 72306 73467 93421 97956 106119 108459 141492 144612 146934 186842 212238 216918 280263 293868 318357 373684 424476 433836 560526 636714 840789 955071 1121052 1214473 1273428 1681578 1910142 2428946 2522367 3363156 3643419 3820284 4857892 5044734 7286838 7567101 10089468 10930257 14573676 15134202 21860514 30268404 32790771 43721028 65581542 98372313 131163084 196744626 393489252