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482665040 = 2451113311361
BaseRepresentation
bin11100110001001…
…110001001010000
31020122012220221222
4130301032021100
51442030240130
6115521104212
714650404464
oct3461161120
91218186858
10482665040
112284a7430
12115788068
1378cc5a20
14481624a4
152c591ce5
hex1cc4e250

482665040 has 160 divisors (see below), whose sum is σ = 1361912832. Its totient is φ = 156672000.

The previous prime is 482665033. The next prime is 482665049. The reversal of 482665040 is 40566284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482665049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353960 + ... + 355320.

Almost surely, 2482665040 is an apocalyptic number.

482665040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680956416).

482665040 is an abundant number, since it is smaller than the sum of its proper divisors (879247792).

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

482665040 is a wasteful number, since it uses less digits than its factorization.

482665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 482665040 is about 21969.6390502894. The cubic root of 482665040 is about 784.4199211640.

The spelling of 482665040 in words is "four hundred eighty-two million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1361 1364 1430 1612 1705 2015 2288 2480 2722 2728 2860 3224 3410 4030 4433 5444 5456 5720 6448 6805 6820 8060 8866 10888 11440 13610 13640 14971 16120 17693 17732 21776 22165 27220 27280 29942 32240 35386 35464 42191 44330 54440 59884 70772 70928 74855 84382 88465 88660 108880 119768 141544 149710 168764 176930 177320 194623 210955 239536 283088 299420 337528 353860 354640 389246 421910 464101 548483 598840 675056 707720 778492 843820 928202 973115 1096966 1197680 1415440 1556984 1687640 1856404 1946230 2193932 2320505 2742415 3113968 3375280 3712808 3892460 4387864 4641010 5484830 6033313 7425616 7784920 8775728 9282020 10969660 12066626 15569840 18564040 21939320 24133252 30166565 37128080 43878640 48266504 60333130 96533008 120666260 241332520 482665040