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482446720 = 2757113953
BaseRepresentation
bin11100110000011…
…000110110000000
31020121210211111001
4130300120312000
51442001243340
6115512301344
714645505130
oct3460306600
91217724431
10482446720
112283683a8
121156a1854
1378c4a542
1448106ac0
152c54c29a
hex1cc18d80

482446720 has 128 divisors (see below), whose sum is σ = 1331173440. Its totient is φ = 163774464.

The previous prime is 482446703. The next prime is 482446721. The reversal of 482446720 is 27644284.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 482446720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482446721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505764 + ... + 506716.

Almost surely, 2482446720 is an apocalyptic number.

482446720 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 482446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665586720).

482446720 is an abundant number, since it is smaller than the sum of its proper divisors (848726720).

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

482446720 is a wasteful number, since it uses less digits than its factorization.

482446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 482446720 is about 21964.6698131340. The cubic root of 482446720 is about 784.3016332070.

The spelling of 482446720 in words is "four hundred eighty-two million, four hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 280 320 448 452 560 565 640 791 896 904 953 1120 1130 1582 1808 1906 2240 2260 3164 3616 3812 3955 4480 4520 4765 6328 6671 7232 7624 7910 9040 9530 12656 13342 14464 15248 15820 18080 19060 25312 26684 30496 31640 33355 36160 38120 50624 53368 60992 63280 66710 72320 76240 101248 106736 107689 121984 126560 133420 152480 213472 215378 253120 266840 304960 426944 430756 506240 533680 538445 609920 753823 853888 861512 1067360 1076890 1507646 1723024 2134720 2153780 3015292 3446048 3769115 4269440 4307560 6030584 6892096 7538230 8615120 12061168 13784192 15076460 17230240 24122336 30152920 34460480 48244672 60305840 68920960 96489344 120611680 241223360 482446720