Search a number
-
+
45793230 = 23571923499
BaseRepresentation
bin1010111010101…
…1111111001110
310012011112111120
42232223333032
543210340410
64313301410
71064143650
oct256537716
9105145446
1045793230
112393814a
1213404866
1396446b2
1461206d0
154048570
hex2babfce

45793230 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 9465984.

The previous prime is 45793217. The next prime is 45793271. The reversal of 45793230 is 3239754.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45793191 and 45793200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91521 + ... + 92019.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 245793230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45793230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

45793230 is an abundant number, since it is smaller than the sum of its proper divisors (92446770).

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

45793230 is a wasteful number, since it uses less digits than its factorization.

45793230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 45793230 is about 6767.0695282375. The cubic root of 45793230 is about 357.7671206856.

The spelling of 45793230 in words is "forty-five million, seven hundred ninety-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 30 35 38 42 46 57 69 70 95 105 114 115 133 138 161 190 210 230 266 285 322 345 399 437 483 499 570 665 690 798 805 874 966 998 1311 1330 1497 1610 1995 2185 2415 2495 2622 2994 3059 3493 3990 4370 4830 4990 6118 6555 6986 7485 9177 9481 10479 11477 13110 14970 15295 17465 18354 18962 20958 22954 28443 30590 34431 34930 45885 47405 52395 56886 57385 66367 68862 80339 91770 94810 104790 114770 132734 142215 160678 172155 199101 218063 241017 284430 331835 344310 398202 401695 436126 482034 654189 663670 803390 995505 1090315 1205085 1308378 1526441 1991010 2180630 2410170 3052882 3270945 4579323 6541890 7632205 9158646 15264410 22896615 45793230