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470981808 = 2432112910253
BaseRepresentation
bin11100000100101…
…001110010110000
31012211020100120200
4130010221302300
51431032404213
6114422435200
714446164543
oct3404516260
91184210520
10470981808
11221947670
12111892b00
1376764c7b
14467a085a
152b535273
hex1c129cb0

470981808 has 120 divisors (see below), whose sum is σ = 1487650320. Its totient is φ = 137786880.

The previous prime is 470981807. The next prime is 470981813. The reversal of 470981808 is 808189074.

It is not an unprimeable number, because it can be changed into a prime (470981807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40810 + ... + 51062.

It is an arithmetic number, because the mean of its divisors is an integer number (12397086).

Almost surely, 2470981808 is an apocalyptic number.

470981808 is a gapful number since it is divisible by the number (48) 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 470981808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743825160).

470981808 is an abundant number, since it is smaller than the sum of its proper divisors (1016668512).

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

470981808 is a wasteful number, since it uses less digits than its factorization.

470981808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 470981808 is about 21702.1152886072. The cubic root of 470981808 is about 778.0390188443.

The spelling of 470981808 in words is "four hundred seventy million, nine hundred eighty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2552 2871 3828 4176 5104 5742 7656 10253 11484 15312 20506 22968 30759 41012 45936 61518 82024 92277 112783 123036 164048 184554 225566 246072 297337 338349 369108 451132 492144 594674 676698 738216 892011 902264 1015047 1189348 1353396 1476432 1784022 1804528 2030094 2378696 2676033 2706792 3270707 3568044 4060188 4757392 5352066 5413584 6541414 7136088 8120376 9812121 10704132 13082828 14272176 16240752 19624242 21408264 26165656 29436363 39248484 42816528 52331312 58872726 78496968 117745452 156993936 235490904 470981808