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28342144 = 271791237
BaseRepresentation
bin110110000011…
…1011110000000
31222022221010001
41230013132000
524223422034
62451245344
7462622105
oct154073600
958287101
1028342144
1114aa8966
1295a9854
135b444cc
143a9aaac
15274ca14
hex1b07780

28342144 has 32 divisors (see below), whose sum is σ = 56824200. Its totient is φ = 14080512.

The previous prime is 28342133. The next prime is 28342157. The reversal of 28342144 is 44124382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 22294 + ... + 23530.

Almost surely, 228342144 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 28342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28412100).

28342144 is an abundant number, since it is smaller than the sum of its proper divisors (28482056).

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

28342144 is a wasteful number, since it uses less digits than its factorization.

28342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1418 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 28342144 is about 5323.7340279169. The cubic root of 28342144 is about 304.8907393286.

The spelling of 28342144 in words is "twenty-eight million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1237 1432 2474 2864 4948 5728 9896 11456 19792 22912 39584 79168 158336 221423 442846 885692 1771384 3542768 7085536 14171072 28342144