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393684252 = 2231331127641
BaseRepresentation
bin10111011101110…
…010010100011100
31000102210020021020
4113131302110130
51301240344002
6103022004140
712520155333
oct2735622434
91012706236
10393684252
11192251895
12aba16650
136373c980
143a3dcd1a
15248672bc
hex1777251c

393684252 has 96 divisors (see below), whose sum is σ = 1030815744. Its totient is φ = 116121600.

The previous prime is 393684233. The next prime is 393684259. The reversal of 393684252 is 252486393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393684259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613852 + ... + 614492.

It is an arithmetic number, because the mean of its divisors is an integer number (10737664).

Almost surely, 2393684252 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 393684252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515407872).

393684252 is an abundant number, since it is smaller than the sum of its proper divisors (637131492).

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

393684252 is a wasteful number, since it uses less digits than its factorization.

393684252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 393684252 is about 19841.4780699423. The cubic root of 393684252 is about 732.9078064816.

It can be divided in two parts, 3936 and 84252, that added together give a palindrome (88188).

The spelling of 393684252 in words is "three hundred ninety-three million, six hundred eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 127 156 186 254 372 381 403 508 641 762 806 1209 1282 1524 1612 1651 1923 2418 2564 3302 3846 3937 4836 4953 6604 7692 7874 8333 9906 11811 15748 16666 19812 19871 23622 24999 33332 39742 47244 49998 51181 59613 79484 81407 99996 102362 119226 153543 162814 204724 238452 244221 258323 307086 325628 488442 516646 614172 774969 976884 1033292 1058291 1549938 2116582 2523617 3099876 3174873 4233164 5047234 6349746 7570851 10094468 12699492 15141702 30283404 32807021 65614042 98421063 131228084 196842126 393684252