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1009428 = 223761197
BaseRepresentation
bin11110110011100010100
31220021200020
43312130110
5224300203
633345140
711402640
oct3663424
91807606
101009428
1162a442
124081b0
132945c4
141c3c20
1514e153
hexf6714

1009428 has 48 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 282240.

The previous prime is 1009417. The next prime is 1009433. The reversal of 1009428 is 8249001.

It is a junction number, because it is equal to n+sod(n) for n = 1009398 and 1009407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5026 + ... + 5222.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

21009428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1009428 is an abundant number, since it is smaller than the sum of its proper divisors (1740396).

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

1009428 is a wasteful number, since it uses less digits than its factorization.

1009428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1009428 is about 1004.7029411722. The cubic root of 1009428 is about 100.3132841720.

The spelling of 1009428 in words is "one million, nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 197 244 366 394 427 591 732 788 854 1182 1281 1379 1708 2364 2562 2758 4137 5124 5516 8274 12017 16548 24034 36051 48068 72102 84119 144204 168238 252357 336476 504714 1009428