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478878048 = 25331150387
BaseRepresentation
bin11100100010110…
…001100101100000
31020101002112012000
4130202301211200
51440043044143
6115304004000
714603252625
oct3442614540
91211075160
10478878048
11226350190
12114460600
137829b0bc
144785834c
152c094bd3
hex1c8b1960

478878048 has 96 divisors (see below), whose sum is σ = 1523733120. Its totient is φ = 145111680.

The previous prime is 478878047. The next prime is 478878053. The reversal of 478878048 is 840878874.

It is a happy number.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 478877985 and 478878003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478878047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15690 + ... + 34697.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220).

Almost surely, 2478878048 is an apocalyptic number.

478878048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

478878048 is an abundant number, since it is smaller than the sum of its proper divisors (1044855072).

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

478878048 is a wasteful number, since it uses less digits than its factorization.

478878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50417 (or 50403 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 478878048 is about 21883.2823863332. The cubic root of 478878048 is about 782.3630115375.

The spelling of 478878048 in words is "four hundred seventy-eight million, eight hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 50387 100774 151161 201548 302322 403096 453483 554257 604644 806192 906966 1108514 1209288 1360449 1612384 1662771 1813932 2217028 2418576 2720898 3325542 3627864 4434056 4837152 4988313 5441796 6651084 7255728 8868112 9976626 10883592 13302168 14511456 14964939 17736224 19953252 21767184 26604336 29929878 39906504 43534368 53208672 59859756 79813008 119719512 159626016 239439024 478878048