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28545696 = 25353671
BaseRepresentation
bin110110011100…
…1001010100000
31222201021100000
41230321022200
524301430241
62455500000
7464430414
oct154711240
958637300
1028545696
1115127893
129687600
135bb605a
143b10d44
15278ceb6
hex1b392a0

28545696 has 72 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 9512640.

The previous prime is 28545689. The next prime is 28545719. The reversal of 28545696 is 69654582.

28545696 is a `hidden beast` number, since 2 + 85 + 4 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 5941 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 228545696 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 28545696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

28545696 is an abundant number, since it is smaller than the sum of its proper divisors (55660608).

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

28545696 is an equidigital number, since it uses as much as digits as its factorization.

28545696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3676 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 28545696 is about 5342.8172343811. The cubic root of 28545696 is about 305.6189027351.

It can be divided in two parts, 28545 and 696, that added together give a square (29241 = 1712).

The spelling of 28545696 in words is "twenty-eight million, five hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3671 3888 7342 7776 11013 14684 22026 29368 33039 44052 58736 66078 88104 99117 117472 132156 176208 198234 264312 297351 352416 396468 528624 594702 792936 892053 1057248 1189404 1585872 1784106 2378808 3171744 3568212 4757616 7136424 9515232 14272848 28545696