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401798016 = 27331929211
BaseRepresentation
bin10111111100101…
…111001110000000
31001000001110021000
4113330233032000
51310330014031
6103511532000
712646140534
oct2774571600
91030043230
10401798016
11196893884
12b268a000
1365320b09
143b511bc4
152541b3e6
hex17f2f380

401798016 has 256 divisors, whose sum is σ = 1297440000. Its totient is φ = 121927680.

The previous prime is 401797993. The next prime is 401798027. The reversal of 401798016 is 610897104.

It is a super-2 number, since 2×4017980162 = 322883291323072512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904151 + ... + 1904361.

It is an arithmetic number, because the mean of its divisors is an integer number (5068125).

Almost surely, 2401798016 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 401798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648720000).

401798016 is an abundant number, since it is smaller than the sum of its proper divisors (895641984).

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

401798016 is a wasteful number, since it uses less digits than its factorization.

401798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 401798016 is about 20044.8999997506. The cubic root of 401798016 is about 737.9086409481.

The spelling of 401798016 in words is "four hundred one million, seven hundred ninety-eight thousand, sixteen".