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288876040 = 23519137811
BaseRepresentation
bin10001001101111…
…110011000001000
3202010120102102121
4101031332120020
51042423013130
644355341024
710105256125
oct2115763010
9663512377
10288876040
11139076932
12808b1774
1347b0478b
142a51974c
151a562d7a
hex1137e608

288876040 has 32 divisors (see below), whose sum is σ = 653391360. Its totient is φ = 114942400.

The previous prime is 288876013. The next prime is 288876041. The reversal of 288876040 is 40678882.

288876040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (288876041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11266 + ... + 26545.

It is an arithmetic number, because the mean of its divisors is an integer number (20418480).

Almost surely, 2288876040 is an apocalyptic number.

288876040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288876040 is an abundant number, since it is smaller than the sum of its proper divisors (364515320).

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

288876040 is a wasteful number, since it uses less digits than its factorization.

288876040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38013 (or 38009 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 288876040 is about 16996.3537266085. The cubic root of 288876040 is about 661.0543600483.

The spelling of 288876040 in words is "two hundred eighty-eight million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 37811 75622 151244 189055 302488 378110 756220 1512440 7221901 14443802 28887604 36109505 57775208 72219010 144438020 288876040