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4288160 = 25526801
BaseRepresentation
bin10000010110111010100000
322001212020202
4100112322200
52044210120
6231524332
751306632
oct20267240
98055222
104288160
112469838
1215296a8
13b71a96
147d8a52
1559a875
hex416ea0

4288160 has 24 divisors (see below), whose sum is σ = 10131156. Its totient is φ = 1715200.

The previous prime is 4288159. The next prime is 4288171. The reversal of 4288160 is 618824.

It can be written as a sum of positive squares in 2 ways, for example, as 4177936 + 110224 = 2044^2 + 332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13241 + ... + 13560.

Almost surely, 24288160 is an apocalyptic number.

4288160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288160 is an abundant number, since it is smaller than the sum of its proper divisors (5842996).

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

4288160 is a wasteful number, since it uses less digits than its factorization.

4288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26816 (or 26808 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4288160 is about 2070.7872898973. The cubic root of 4288160 is about 162.4639446634.

The spelling of 4288160 in words is "four million, two hundred eighty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26801 53602 107204 134005 214408 268010 428816 536020 857632 1072040 2144080 4288160