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401830880 = 25511229997
BaseRepresentation
bin10111111100110…
…111001111100000
31001000010010100012
4113330313033200
51310332042010
6103512344052
712646335413
oct2774671740
91030103305
10401830880
11196906540
12b26a5028
1365332a69
143b51db7a
1525426005
hex17f373e0

401830880 has 96 divisors (see below), whose sum is σ = 1041193440. Its totient is φ = 145336320.

The previous prime is 401830879. The next prime is 401830883. The reversal of 401830880 is 88038104.

401830880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4018308802 = 322936112243148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401830883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402542 + ... + 403538.

It is an arithmetic number, because the mean of its divisors is an integer number (10845765).

Almost surely, 2401830880 is an apocalyptic number.

401830880 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 401830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520596720).

401830880 is an abundant number, since it is smaller than the sum of its proper divisors (639362560).

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

401830880 is a wasteful number, since it uses less digits than its factorization.

401830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 401830880 is about 20045.7197426283. The cubic root of 401830880 is about 737.9287588245.

Adding to 401830880 its reverse (88038104), we get a palindrome (489868984).

The spelling of 401830880 in words is "four hundred one million, eight hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 229 352 440 458 880 916 997 1145 1760 1832 1994 2290 2519 3664 3988 4580 4985 5038 7328 7976 9160 9970 10076 10967 12595 15952 18320 19940 20152 21934 25190 31904 36640 39880 40304 43868 50380 54835 79760 80608 87736 100760 109670 159520 175472 201520 219340 228313 350944 403040 438680 456626 877360 913252 1141565 1754720 1826504 2283130 2511443 3653008 4566260 5022886 7306016 9132520 10045772 12557215 18265040 20091544 25114430 36530080 40183088 50228860 80366176 100457720 200915440 401830880