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2093429232 = 243317614673
BaseRepresentation
bin111110011000111…
…0011000111110000
312101220011020001000
41330301303013300
513241404213412
6543421242000
7102606566136
oct17461630760
95356136030
102093429232
11984760404
124a5103300
1327492a12b
1415c059756
15c3bba4dc
hex7cc731f0

2093429232 has 160 divisors (see below), whose sum is σ = 6468068160. Its totient is φ = 645857280.

The previous prime is 2093429227. The next prime is 2093429297. The reversal of 2093429232 is 2329243902.

2093429232 is a `hidden beast` number, since 209 + 3 + 429 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 445648 + ... + 450320.

It is an arithmetic number, because the mean of its divisors is an integer number (40425426).

Almost surely, 22093429232 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 2093429232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234034080).

2093429232 is an abundant number, since it is smaller than the sum of its proper divisors (4374638928).

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

2093429232 is a wasteful number, since it uses less digits than its factorization.

2093429232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2093429232 is about 45754.0078244518. The cubic root of 2093429232 is about 1279.2421523023.

The spelling of 2093429232 in words is "two billion, ninety-three million, four hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 61 68 72 102 108 122 136 144 153 183 204 216 244 272 306 366 408 432 459 488 549 612 732 816 918 976 1037 1098 1224 1464 1647 1836 2074 2196 2448 2928 3111 3294 3672 4148 4392 4673 6222 6588 7344 8296 8784 9333 9346 12444 13176 14019 16592 18666 18692 24888 26352 27999 28038 37332 37384 42057 49776 55998 56076 74664 74768 79441 84114 111996 112152 126171 149328 158882 168228 223992 224304 238323 252342 285053 317764 336456 447984 476646 504684 570106 635528 672912 714969 855159 953292 1009368 1140212 1271056 1429938 1710318 1906584 2018736 2144907 2280424 2565477 2859876 3420636 3813168 4289814 4560848 4845901 5130954 5719752 6841272 7696431 8579628 9691802 10261908 11439504 13682544 14537703 15392862 17159256 19383604 20523816 29075406 30785724 34318512 38767208 41047632 43613109 58150812 61571448 77534416 87226218 116301624 123142896 130839327 174452436 232603248 261678654 348904872 523357308 697809744 1046714616 2093429232