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482210976 = 25313478221
BaseRepresentation
bin11100101111011…
…111010010100000
31020121100212002210
4130233133102200
51441421222401
6115503242120
714643503622
oct3457372240
91217325083
10482210976
11228217275
121155a9340
1378b97150
1448084c12
152c5024d6
hex1cbdf4a0

482210976 has 96 divisors (see below), whose sum is σ = 1392346368. Its totient is φ = 145198080.

The previous prime is 482210957. The next prime is 482211019. The reversal of 482210976 is 679012284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54546 + ... + 62766.

It is an arithmetic number, because the mean of its divisors is an integer number (14503608).

Almost surely, 2482210976 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 482210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696173184).

482210976 is an abundant number, since it is smaller than the sum of its proper divisors (910135392).

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

482210976 is a wasteful number, since it uses less digits than its factorization.

482210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 482210976 is about 21959.3027211704. The cubic root of 482210976 is about 784.1738646746.

The spelling of 482210976 in words is "four hundred eighty-two million, two hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 8221 9776 14664 16442 19552 24663 29328 32884 49326 58656 65768 98652 106873 131536 197304 213746 263072 320619 386387 394608 427492 641238 772774 789216 854984 1159161 1282476 1545548 1709968 2318322 2564952 3091096 3419936 4636644 5023031 5129904 6182192 9273288 10046062 10259808 12364384 15069093 18546576 20092124 30138186 37093152 40184248 60276372 80368496 120552744 160736992 241105488 482210976