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482855904 = 25341071741
BaseRepresentation
bin11100110001111…
…100101111100000
31020122120121210000
4130301330233200
51442102342104
6115525140000
714652131106
oct3461745740
91218517700
10482855904
11228617873
1211585a600
137906186b
14481b1c76
152c5cd639
hex1cc7cbe0

482855904 has 120 divisors (see below), whose sum is σ = 1434160728. Its totient is φ = 159356160.

The previous prime is 482855899. The next prime is 482855909. The reversal of 482855904 is 409558284.

482855904 is a `hidden beast` number, since 482 + 85 + 5 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (482855899) and next prime (482855909).

It is a super-3 number, since 3×4828559043 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 482855904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482855909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 276474 + ... + 278214.

Almost surely, 2482855904 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 482855904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717080364).

482855904 is an abundant number, since it is smaller than the sum of its proper divisors (951304824).

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

482855904 is a wasteful number, since it uses less digits than its factorization.

482855904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 482855904 is about 21973.9824337784. The cubic root of 482855904 is about 784.5233039665.

The spelling of 482855904 in words is "four hundred eighty-two million, eight hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1741 1926 2568 2592 2889 3424 3482 3852 5136 5223 5778 6964 7704 8667 10272 10446 11556 13928 15408 15669 17334 20892 23112 27856 30816 31338 34668 41784 46224 47007 55712 62676 69336 83568 92448 94014 125352 138672 141021 167136 186287 188028 250704 277344 282042 372574 376056 501408 558861 564084 745148 752112 1117722 1128168 1490296 1504224 1676583 2235444 2256336 2980592 3353166 4470888 4512672 5029749 5961184 6706332 8941776 10059498 13412664 15089247 17883552 20118996 26825328 30178494 40237992 53650656 60356988 80475984 120713976 160951968 241427952 482855904