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478138332 = 223747163743
BaseRepresentation
bin11100011111111…
…100111111011100
31020022200221111010
4130133330333130
51434400411312
6115240055220
714564052210
oct3437747734
91208627433
10478138332
11225995451
12114164510
137809c4b9
1447704940
152be9a93c
hex1c7fcfdc

478138332 has 96 divisors (see below), whose sum is σ = 1311916032. Its totient is φ = 132705216.

The previous prime is 478138303. The next prime is 478138333. The reversal of 478138332 is 233831874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478138333) 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, 643153 + ... + 643895.

It is an arithmetic number, because the mean of its divisors is an integer number (13665792).

Almost surely, 2478138332 is an apocalyptic number.

478138332 is a gapful number since it is divisible by the number (42) 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 478138332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655958016).

478138332 is an abundant number, since it is smaller than the sum of its proper divisors (833777700).

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

478138332 is a wasteful number, since it uses less digits than its factorization.

478138332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 478138332 is about 21866.3744594297. The cubic root of 478138332 is about 781.9599689958.

The spelling of 478138332 in words is "four hundred seventy-eight million, one hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 163 188 282 326 329 489 564 652 658 743 978 987 1141 1316 1486 1956 1974 2229 2282 2972 3423 3948 4458 4564 5201 6846 7661 8916 10402 13692 15322 15603 20804 22983 30644 31206 34921 45966 53627 62412 69842 91932 104763 107254 121109 139684 160881 209526 214508 242218 244447 321762 363327 419052 484436 488894 643524 726654 733341 847763 977788 1453308 1466682 1695526 2543289 2933364 3391052 5086578 5692123 10173156 11384246 17076369 22768492 34152738 39844861 68305476 79689722 119534583 159379444 239069166 478138332