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20082348 = 223211134783
BaseRepresentation
bin100110010011…
…0111010101100
31101210021210200
41030212322230
520120113343
61554233500
7332461056
oct114467254
941707720
1020082348
1110377190
126885890
134211a60
14294a8d6
151b6a4d3
hex1326eac

20082348 has 144 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 5431680.

The previous prime is 20082331. The next prime is 20082367. The reversal of 20082348 is 84328002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241915 + ... + 241997.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 220082348 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 20082348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

20082348 is an abundant number, since it is smaller than the sum of its proper divisors (41558868).

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

20082348 is a wasteful number, since it uses less digits than its factorization.

20082348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20082348 is about 4481.3332837449. Note that the first 3 decimals coincide. The cubic root of 20082348 is about 271.8137962904.

It can be divided in two parts, 2008 and 2348, that added together give a square (4356 = 662).

The spelling of 20082348 in words is "twenty million, eighty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 47 52 66 78 83 94 99 117 132 141 143 156 166 188 198 234 249 282 286 332 396 423 429 468 498 517 564 572 611 747 846 858 913 996 1034 1079 1222 1287 1494 1551 1692 1716 1826 1833 2068 2158 2444 2574 2739 2988 3102 3237 3652 3666 3901 4316 4653 5148 5478 5499 6204 6474 6721 7332 7802 8217 9306 9711 10956 10998 11703 11869 12948 13442 15604 16434 18612 19422 20163 21996 23406 23738 26884 32868 35109 35607 38844 40326 42911 46812 47476 50713 60489 70218 71214 80652 85822 101426 106821 120978 128733 140436 142428 152139 171644 202852 213642 241956 257466 304278 386199 427284 456417 514932 557843 608556 772398 912834 1115686 1544796 1673529 1825668 2231372 3347058 5020587 6694116 10041174 20082348