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4285476 = 2232139157
BaseRepresentation
bin10000010110010000100100
322001201120100
4100112100210
52044113401
6231504100
751266046
oct20262044
98051510
104285476
112467818
121528030
13b707b0
147d7a96
15599b86
hex416424

4285476 has 36 divisors (see below), whose sum is σ = 11667292. Its totient is φ = 1318464.

The previous prime is 4285453. The next prime is 4285481. The reversal of 4285476 is 6745824.

It can be written as a sum of positive squares in 2 ways, for example, as 599076 + 3686400 = 774^2 + 1920^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 47 + 213 + 8 + 55 + 411 + 75 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 4285476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4111 + ... + 5046.

Almost surely, 24285476 is an apocalyptic number.

It is an amenable number.

4285476 is an abundant number, since it is smaller than the sum of its proper divisors (7381816).

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

4285476 is a wasteful number, since it uses less digits than its factorization.

4285476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9175 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4285476 is about 2070.1391257594. The cubic root of 4285476 is about 162.4300416812.

It can be divided in two parts, 4285 and 476, that added together give a square (4761 = 692).

The spelling of 4285476 in words is "four million, two hundred eighty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9157 18314 27471 36628 54942 82413 109884 119041 164826 238082 329652 357123 476164 714246 1071369 1428492 2142738 4285476