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402032431 = 597698861
BaseRepresentation
bin10111111101101…
…000011100101111
31001000111100211001
4113331220130233
51310410014211
6103520541131
712651135133
oct2775503457
91030440731
10402032431
11196a33a09
12b27817a7
13653a3718
143b5733c3
1525465ac1
hex17f6872f

402032431 has 8 divisors (see below), whose sum is σ = 409424400. Its totient is φ = 394659840.

The previous prime is 402032377. The next prime is 402032441. The reversal of 402032431 is 134230204.

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 402032431 - 29 = 402031919 is a prime.

It is a super-3 number, since 3×4020324313 (a number of 27 digits) contains 333 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 = 402032399 and 402032408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402032441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40941 + ... + 49801.

It is an arithmetic number, because the mean of its divisors is an integer number (51178050).

Almost surely, 2402032431 is an apocalyptic number.

402032431 is a deficient number, since it is larger than the sum of its proper divisors (7391969).

402032431 is an equidigital number, since it uses as much as digits as its factorization.

402032431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 402032431 is about 20050.7463950846. The cubic root of 402032431 is about 738.0521153797.

Adding to 402032431 its reverse (134230204), we get a palindrome (536262635).

The spelling of 402032431 in words is "four hundred two million, thirty-two thousand, four hundred thirty-one".

Divisors: 1 59 769 8861 45371 522799 6814109 402032431