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288875000 = 23562311
BaseRepresentation
bin10001001101111…
…110000111111000
3202010120101000002
4101031332013320
51042423000000
644355332132
710105253111
oct2115760770
9663511002
10288875000
11139076077
12808b1048
1347b0416b
142a519208
151a5628d5
hex1137e1f8

288875000 has 56 divisors (see below), whose sum is σ = 677335080. Its totient is φ = 115500000.

The previous prime is 288874991. The next prime is 288875011. The reversal of 288875000 is 578882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 123845 + ... + 126155.

Almost surely, 2288875000 is an apocalyptic number.

288875000 is a gapful number since it is divisible by the number (20) 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 288875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338667540).

288875000 is an abundant number, since it is smaller than the sum of its proper divisors (388460080).

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

288875000 is an frugal number, since it uses more digits than its factorization.

288875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 288875000 is about 16996.3231317835. The cubic root of 288875000 is about 661.0535667469.

The spelling of 288875000 in words is "two hundred eighty-eight million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2311 2500 3125 4622 5000 6250 9244 11555 12500 15625 18488 23110 25000 31250 46220 57775 62500 92440 115550 125000 231100 288875 462200 577750 1155500 1444375 2311000 2888750 5777500 7221875 11555000 14443750 28887500 36109375 57775000 72218750 144437500 288875000