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1813428 = 223429193
BaseRepresentation
bin110111010101110110100
310102010120000
412322232310
5431012203
6102511300
721261651
oct6725664
93363500
101813428
111029501
12735530
134b6546
14352c28
1525c4a3
hex1babb4

1813428 has 60 divisors (see below), whose sum is σ = 4929540. Its totient is φ = 580608.

The previous prime is 1813421. The next prime is 1813429. The reversal of 1813428 is 8243181.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 1127844 = 828^2 + 1062^2 .

It is a super-2 number, since 2×18134282 = 6577042222368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9300 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (82159).

21813428 is an apocalyptic number.

1813428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464770).

1813428 is an abundant number, since it is smaller than the sum of its proper divisors (3116112).

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

1813428 is a wasteful number, since it uses less digits than its factorization.

1813428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1813428 is about 1346.6358082273. The cubic root of 1813428 is about 121.9457790054.

The spelling of 1813428 in words is "one million, eight hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 193 261 324 348 386 522 579 772 783 1044 1158 1566 1737 2316 2349 3132 3474 4698 5211 5597 6948 9396 10422 11194 15633 16791 20844 22388 31266 33582 50373 62532 67164 100746 151119 201492 302238 453357 604476 906714 1813428