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28234584 = 23327253151
BaseRepresentation
bin110101110110…
…1001101011000
31222010110120100
41223231031120
524212001314
62445055400
7461663400
oct153551530
958113510
1028234584
1114a35074
129557560
135b07571
143a6d800
15272ac09
hex1aed358

28234584 has 144 divisors (see below), whose sum is σ = 91231920. Its totient is φ = 7862400.

The previous prime is 28234573. The next prime is 28234601. The reversal of 28234584 is 48543282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186909 + ... + 187059.

It is an arithmetic number, because the mean of its divisors is an integer number (633555).

Almost surely, 228234584 is an apocalyptic number.

28234584 is a gapful number since it is divisible by the number (24) 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 28234584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615960).

28234584 is an abundant number, since it is smaller than the sum of its proper divisors (62997336).

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

28234584 is a wasteful number, since it uses less digits than its factorization.

28234584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28234584 is about 5313.6224931773. The cubic root of 28234584 is about 304.5045579976.

The spelling of 28234584 in words is "twenty-eight million, two hundred thirty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 151 159 168 196 212 252 294 302 318 371 392 424 441 453 477 504 588 604 636 742 882 906 954 1057 1113 1176 1208 1272 1359 1484 1764 1812 1908 2114 2226 2597 2718 2968 3171 3339 3528 3624 3816 4228 4452 5194 5436 6342 6678 7399 7791 8003 8456 8904 9513 10388 10872 12684 13356 14798 15582 16006 19026 20776 22197 23373 24009 25368 26712 29596 31164 32012 38052 44394 46746 48018 56021 59192 62328 64024 66591 72027 76104 88788 93492 96036 112042 133182 144054 168063 177576 186984 192072 224084 266364 288108 336126 392147 448168 504189 532728 576216 672252 784294 1008378 1176441 1344504 1568588 2016756 2352882 3137176 3529323 4033512 4705764 7058646 9411528 14117292 28234584