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28239600 = 24352101233
BaseRepresentation
bin110101110111…
…0011011110000
31222010201110010
41223232123300
524212131400
62445134520
7462014124
oct153563360
958121403
1028239600
1114a38914
12955a440
135b0992c
143a71584
15272c450
hex1aee6f0

28239600 has 120 divisors (see below), whose sum is σ = 91748592. Its totient is φ = 7424000.

The previous prime is 28239571. The next prime is 28239641. The reversal of 28239600 is 693282.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121084 + ... + 121316.

Almost surely, 228239600 is an apocalyptic number.

28239600 is a gapful number since it is divisible by the number (20) 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 28239600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45874296).

28239600 is an abundant number, since it is smaller than the sum of its proper divisors (63508992).

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

28239600 is a wasteful number, since it uses less digits than its factorization.

28239600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 28239600 is about 5314.0944666048. The cubic root of 28239600 is about 304.5225891283.

The spelling of 28239600 in words is "twenty-eight million, two hundred thirty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 233 240 300 303 400 404 466 505 600 606 699 808 932 1010 1165 1200 1212 1398 1515 1616 1864 2020 2330 2424 2525 2796 3030 3495 3728 4040 4660 4848 5050 5592 5825 6060 6990 7575 8080 9320 10100 11184 11650 12120 13980 15150 17475 18640 20200 23300 23533 24240 27960 30300 34950 40400 46600 47066 55920 60600 69900 70599 93200 94132 117665 121200 139800 141198 188264 235330 279600 282396 352995 376528 470660 564792 588325 705990 941320 1129584 1176650 1411980 1764975 1882640 2353300 2823960 3529950 4706600 5647920 7059900 9413200 14119800 28239600