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426100 = 22524261
BaseRepresentation
bin1101000000001110100
3210122111111
41220001310
5102113400
613044404
73423163
oct1500164
9718444
10426100
11271154
12186704
1311bc3c
14b13da
15863ba
hex68074

426100 has 18 divisors (see below), whose sum is σ = 924854. Its totient is φ = 170400.

The previous prime is 426091. The next prime is 426103. The reversal of 426100 is 1624.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 309136 = 342^2 + 556^2 .

It is a super-2 number, since 2×4261002 = 363122420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2031 + ... + 2230.

2426100 is an apocalyptic number.

It is an amenable number.

426100 is an abundant number, since it is smaller than the sum of its proper divisors (498754).

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

426100 is a wasteful number, since it uses less digits than its factorization.

426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 426100 is about 652.7633568147. The cubic root of 426100 is about 75.2495391855.

Adding to 426100 its reverse (1624), we get a palindrome (427724).

The spelling of 426100 in words is "four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4261 8522 17044 21305 42610 85220 106525 213050 426100