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401633431 = 8314273391
BaseRepresentation
bin10111111100000…
…111000010010111
31000222202002111021
4113330013002113
51310304232211
6103504222011
712644553643
oct2774070227
91028662437
10401633431
11196791161
12b260a907
1365293c24
143b4abc23
15253d7771
hex17f07097

401633431 has 8 divisors (see below), whose sum is σ = 406877184. Its totient is φ = 396399480.

The previous prime is 401633413. The next prime is 401633437. The reversal of 401633431 is 134336104.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401633431 - 25 = 401633399 is a prime.

It is a super-4 number, since 4×4016334314 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401633396 and 401633405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401633437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116746 + ... + 120136.

It is an arithmetic number, because the mean of its divisors is an integer number (50859648).

Almost surely, 2401633431 is an apocalyptic number.

401633431 is a deficient number, since it is larger than the sum of its proper divisors (5243753).

401633431 is a wasteful number, since it uses less digits than its factorization.

401633431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 401633431 is about 20040.7941708905. The cubic root of 401633431 is about 737.8078728381.

Adding to 401633431 its reverse (134336104), we get a palindrome (535969535).

The spelling of 401633431 in words is "four hundred one million, six hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 83 1427 3391 118441 281453 4838957 401633431