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427444017 = 371113373847
BaseRepresentation
bin11001011110100…
…100011100110001
31002210022101221220
4121132210130301
51333411202032
6110225335253
713410133320
oct3136443461
91083271856
10427444017
111aa310020
12bb197529
136a730070
1440aaa0b7
15277d512c
hex197a4731

427444017 has 64 divisors (see below), whose sum is σ = 786100224. Its totient is φ = 199376640.

The previous prime is 427444013. The next prime is 427444051. The reversal of 427444017 is 710444724.

It is a happy number.

It is not a de Polignac number, because 427444017 - 22 = 427444013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (427444013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109188 + ... + 113034.

It is an arithmetic number, because the mean of its divisors is an integer number (12282816).

Almost surely, 2427444017 is an apocalyptic number.

It is an amenable number.

427444017 is a deficient number, since it is larger than the sum of its proper divisors (358656207).

427444017 is a wasteful number, since it uses less digits than its factorization.

427444017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918.

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 427444017 is about 20674.7192725802. The cubic root of 427444017 is about 753.2857423969.

It can be divided in two parts, 427 and 444017, that added together give a palindrome (444444).

The spelling of 427444017 in words is "four hundred twenty-seven million, four hundred forty-four thousand, seventeen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 3847 5291 8547 10101 11541 15873 26929 37037 42317 50011 80787 111111 126951 142339 150033 296219 350077 427017 550121 888657 996373 1050231 1565729 1650363 1850407 2989119 3850847 4697187 5551221 10960103 11552541 12952849 20354477 32880309 38858547 61063431 142481339 427444017