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1028432 = 241719199
BaseRepresentation
bin11111011000101010000
31221020202002
43323011100
5230402212
634013132
711512226
oct3730520
91836662
101028432
11642749
124171a8
132a0152
141cab16
15154ac2
hexfb150

1028432 has 40 divisors (see below), whose sum is σ = 2232000. Its totient is φ = 456192.

The previous prime is 1028411. The next prime is 1028437. The reversal of 1028432 is 2348201.

1028432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5069 + ... + 5267.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

21028432 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 1028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116000).

1028432 is an abundant number, since it is smaller than the sum of its proper divisors (1203568).

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

1028432 is a wasteful number, since it uses less digits than its factorization.

1028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1028432 is about 1014.1163641318. The cubic root of 1028432 is about 100.9388905897.

The spelling of 1028432 in words is "one million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 199 272 304 323 398 646 796 1292 1592 2584 3184 3383 3781 5168 6766 7562 13532 15124 27064 30248 54128 60496 64277 128554 257108 514216 1028432