Search a number
-
+
482446140 = 2235117091031
BaseRepresentation
bin11100110000011…
…000101100111100
31020121210210200120
4130300120230330
51442001234030
6115512254540
714645503341
oct3460305474
91217723616
10482446140
11228367a20
121156a1450
1378c4a1b7
14481067c8
152c54c010
hex1cc18b3c

482446140 has 96 divisors (see below), whose sum is σ = 1477163520. Its totient is φ = 116678400.

The previous prime is 482446109. The next prime is 482446169. The reversal of 482446140 is 41644284.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467425 + ... + 468455.

It is an arithmetic number, because the mean of its divisors is an integer number (15387120).

Almost surely, 2482446140 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 482446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738581760).

482446140 is an abundant number, since it is smaller than the sum of its proper divisors (994717380).

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

482446140 is a wasteful number, since it uses less digits than its factorization.

482446140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 482446140 is about 21964.6566101089. The cubic root of 482446140 is about 784.3013189097.

The spelling of 482446140 in words is "four hundred eighty-two million, four hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 709 1031 1418 2062 2127 2836 3093 3545 4124 4254 5155 6186 7090 7799 8508 10310 10635 11341 12372 14180 15465 15598 20620 21270 22682 23397 30930 31196 34023 38995 42540 45364 46794 56705 61860 68046 77990 93588 113410 116985 136092 155980 170115 226820 233970 340230 467940 680460 730979 1461958 2192937 2923916 3654895 4385874 7309790 8040769 8771748 10964685 14619580 16081538 21929370 24122307 32163076 40203845 43858740 48244614 80407690 96489228 120611535 160815380 241223070 482446140