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424132401 = 37117872333
BaseRepresentation
bin11001010001111…
…011111100110001
31002120002011021110
4121101323330301
51332034214101
6110030343533
713340031420
oct3121737461
91076064243
10424132401
111a8458a50
12ba05aba9
1369b40924
14404872b7
152737dcd6
hex1947bf31

424132401 has 32 divisors (see below), whose sum is σ = 706249728. Its totient is φ = 219954240.

The previous prime is 424132399. The next prime is 424132411. The reversal of 424132401 is 104231424.

It is not a de Polignac number, because 424132401 - 21 = 424132399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (424132411) 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 31 ways as a sum of consecutive naturals, for example, 180631 + ... + 182963.

It is an arithmetic number, because the mean of its divisors is an integer number (22070304).

Almost surely, 2424132401 is an apocalyptic number.

It is an amenable number.

424132401 is a deficient number, since it is larger than the sum of its proper divisors (282117327).

424132401 is a wasteful number, since it uses less digits than its factorization.

424132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 424132401 is about 20594.4750115170. The cubic root of 424132401 is about 751.3353401889.

Adding to 424132401 its reverse (104231424), we get a palindrome (528363825).

The spelling of 424132401 in words is "four hundred twenty-four million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 231 787 2333 2361 5509 6999 8657 16331 16527 25663 25971 48993 60599 76989 179641 181797 538923 1836071 5508213 12852497 20196781 38557491 60590343 141377467 424132401