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401747968 = 212432281
BaseRepresentation
bin10111111100100…
…011000000000000
31000222221220121101
4113330203000000
51310321413333
6103510504144
712645541606
oct2774430000
91028856541
10401747968
1119685a216
12b2665054
13653040bb
143b4db876
152540b67d
hex17f23000

401747968 has 52 divisors (see below), whose sum is σ = 822441928. Its totient is φ = 196116480.

The previous prime is 401747939. The next prime is 401747977. The reversal of 401747968 is 869747104.

It is a super-2 number, since 2×4017479682 = 322802859584258048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174988 + ... + 177268.

Almost surely, 2401747968 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 401747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411220964).

401747968 is an abundant number, since it is smaller than the sum of its proper divisors (420693960).

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

401747968 is an equidigital number, since it uses as much as digits as its factorization.

401747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 401747968 is about 20043.6515635250. The cubic root of 401747968 is about 737.8780016852.

The spelling of 401747968 in words is "four hundred one million, seven hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2281 2752 4096 4562 5504 9124 11008 18248 22016 36496 44032 72992 88064 98083 145984 176128 196166 291968 392332 583936 784664 1167872 1569328 2335744 3138656 4671488 6277312 9342976 12554624 25109248 50218496 100436992 200873984 401747968