Search a number
-
+
483725790 = 233537411181
BaseRepresentation
bin11100110101010…
…001000111011110
31020201012211001000
4130311101013132
51442313211130
6115555531130
714662413162
oct3465210736
91221184030
10483725790
11229061389
12115bb9aa6
13792a77a2
144835aca2
152c701260
hex1cd511de

483725790 has 128 divisors (see below), whose sum is σ = 1358259840. Its totient is φ = 122342400.

The previous prime is 483725789. The next prime is 483725821. The reversal of 483725790 is 97527384.

483725790 is a `hidden beast` number, since 4 + 8 + 3 + 72 + 579 + 0 = 666.

It is a super-2 number, since 2×4837257902 = 467981279822248200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 409000 + ... + 410180.

It is an arithmetic number, because the mean of its divisors is an integer number (10611405).

Almost surely, 2483725790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483725790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679129920).

483725790 is an abundant number, since it is smaller than the sum of its proper divisors (874534050).

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

483725790 is a wasteful number, since it uses less digits than its factorization.

483725790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 483725790 is about 21993.7670716046. The cubic root of 483725790 is about 784.9941390018.

The spelling of 483725790 in words is "four hundred eighty-three million, seven hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 41 45 54 74 82 90 111 123 135 185 205 222 246 270 333 369 370 410 555 615 666 738 999 1107 1110 1181 1230 1517 1665 1845 1998 2214 2362 3034 3330 3543 3690 4551 4995 5535 5905 7086 7585 9102 9990 10629 11070 11810 13653 15170 17715 21258 22755 27306 31887 35430 40959 43697 45510 48421 53145 63774 68265 81918 87394 96842 106290 131091 136530 145263 159435 204795 218485 242105 262182 290526 318870 393273 409590 435789 436970 484210 655455 726315 786546 871578 1179819 1307367 1310910 1452630 1791577 1966365 2178945 2359638 2614734 3583154 3932730 4357890 5374731 5899095 6536835 8957885 10749462 11798190 13073670 16124193 17915770 26873655 32248386 48372579 53747310 80620965 96745158 161241930 241862895 483725790