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427240404 = 223285313913
BaseRepresentation
bin11001011101110…
…010101111010100
31002202221001122200
4121131302233110
51333333143104
6110221124500
713405324563
oct3135625724
91082831580
10427240404
111aa191048
12bb0b9730
136a68b496
1440a55bda
1527794b39
hex19772bd4

427240404 has 36 divisors (see below), whose sum is σ = 1081312596. Its totient is φ = 142236288.

The previous prime is 427240397. The next prime is 427240409. The reversal of 427240404 is 404042724.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 295908804 = 11460^2 + 17202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427240409) 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 11 ways as a sum of consecutive naturals, for example, 23752 + ... + 37664.

It is an arithmetic number, because the mean of its divisors is an integer number (30036461).

Almost surely, 2427240404 is an apocalyptic number.

It is an amenable number.

427240404 is an abundant number, since it is smaller than the sum of its proper divisors (654072192).

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

427240404 is a wasteful number, since it uses less digits than its factorization.

427240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14776 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 427240404 is about 20669.7944837388. The cubic root of 427240404 is about 753.1661141538.

The spelling of 427240404 in words is "four hundred twenty-seven million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 853 1706 2559 3412 5118 7677 10236 13913 15354 27826 30708 41739 55652 83478 125217 166956 250434 500868 11867789 23735578 35603367 47471156 71206734 106810101 142413468 213620202 427240404