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401383000 = 23531992017
BaseRepresentation
bin10111111011001…
…001111001011000
31000222021100222001
4113323021321120
51310223224000
6103455010344
712642461554
oct2773117130
91028240861
10401383000
1119662aa97
12b25099b4
1365206c45
143b444864
152538846a
hex17ec9e58

401383000 has 64 divisors (see below), whose sum is σ = 944424000. Its totient is φ = 159667200.

The previous prime is 401382991. The next prime is 401383007. The reversal of 401383000 is 383104.

It is a super-2 number, since 2×4013830002 = 322216625378000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401383007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197992 + ... + 200008.

It is an arithmetic number, because the mean of its divisors is an integer number (14756625).

Almost surely, 2401383000 is an apocalyptic number.

401383000 is a gapful number since it is divisible by the number (40) 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 401383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472212000).

401383000 is an abundant number, since it is smaller than the sum of its proper divisors (543041000).

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

401383000 is a wasteful number, since it uses less digits than its factorization.

401383000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 401383000 is about 20034.5451657880. The cubic root of 401383000 is about 737.6544921965.

The spelling of 401383000 in words is "four hundred one million, three hundred eighty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 2017 3980 4034 4975 7960 8068 9950 10085 16136 19900 20170 24875 39800 40340 49750 50425 80680 99500 100850 199000 201700 252125 401383 403400 504250 802766 1008500 1605532 2006915 2017000 3211064 4013830 8027660 10034575 16055320 20069150 40138300 50172875 80276600 100345750 200691500 401383000