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28180096 = 27724493
BaseRepresentation
bin110101101111…
…1111010000000
31222000200211021
41223133322000
524203230341
62443555224
7461345500
oct153377200
958020737
1028180096
11149a813a
12952bb14
135ab8819
143a57a00
1527199d1
hex1adfe80

28180096 has 48 divisors (see below), whose sum is σ = 65320290. Its totient is φ = 12074496.

The previous prime is 28180091. The next prime is 28180099. The reversal of 28180096 is 69008182.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 13249600 = 3864^2 + 3640^2 .

It is not an unprimeable number, because it can be changed into a prime (28180091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4026 + ... + 8518.

Almost surely, 228180096 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 28180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32660145).

28180096 is an abundant number, since it is smaller than the sum of its proper divisors (37140194).

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

28180096 is an equidigital number, since it uses as much as digits as its factorization.

28180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 28180096 is about 5308.4928181170. The cubic root of 28180096 is about 304.3085509899.

The spelling of 28180096 in words is "twenty-eight million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4493 6272 8986 17972 31451 35944 62902 71888 125804 143776 220157 251608 287552 440314 503216 575104 880628 1006432 1761256 2012864 3522512 4025728 7045024 14090048 28180096