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28394064 = 243567109
BaseRepresentation
bin110110001010…
…0001001010000
31222102120100000
41230110021100
524232102224
62452330000
7463226346
oct154241120
958376300
1028394064
1115033976
129613900
135b6202a
143ab1996
15275d0c9
hex1b14250

28394064 has 120 divisors (see below), whose sum is σ = 84404320. Its totient is φ = 9237888.

The previous prime is 28394053. The next prime is 28394077. The reversal of 28394064 is 46049382.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 260442 + ... + 260550.

Almost surely, 228394064 is an apocalyptic number.

28394064 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 28394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202160).

28394064 is an abundant number, since it is smaller than the sum of its proper divisors (56010256).

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

28394064 is a wasteful number, since it uses less digits than its factorization.

28394064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28394064 is about 5328.6080734090. The cubic root of 28394064 is about 305.0768023017.

It can be divided in two parts, 2839 and 4064, that added together give a triangular number (6903 = T117).

The spelling of 28394064 in words is "twenty-eight million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 109 134 144 162 201 216 218 243 268 324 327 402 432 436 486 536 603 648 654 804 872 972 981 1072 1206 1296 1308 1608 1744 1809 1944 1962 2412 2616 2943 3216 3618 3888 3924 4824 5232 5427 5886 7236 7303 7848 8829 9648 10854 11772 14472 14606 15696 16281 17658 21708 21909 23544 26487 28944 29212 32562 35316 43416 43818 47088 52974 58424 65124 65727 70632 86832 87636 105948 116848 130248 131454 141264 175272 197181 211896 260496 262908 350544 394362 423792 525816 591543 788724 1051632 1183086 1577448 1774629 2366172 3154896 3549258 4732344 7098516 9464688 14197032 28394064