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288895420 = 225111313161
BaseRepresentation
bin10001001110000…
…011000110111100
3202010121102000101
4101032003012330
51042424123140
644400010444
710105366462
oct2116030674
9663542011
10288895420
1113908a450
1280900a24
1347b10548
142a522832
151a56899a
hex113831bc

288895420 has 24 divisors (see below), whose sum is σ = 661833648. Its totient is φ = 105052800.

The previous prime is 288895381. The next prime is 288895423. The reversal of 288895420 is 24598882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288895423) 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, 656361 + ... + 656800.

It is an arithmetic number, because the mean of its divisors is an integer number (27576402).

Almost surely, 2288895420 is an apocalyptic number.

288895420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288895420 is an abundant number, since it is smaller than the sum of its proper divisors (372938228).

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

288895420 is a wasteful number, since it uses less digits than its factorization.

288895420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313181 (or 1313179 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 288895420 is about 16996.9238393305. The cubic root of 288895420 is about 661.0691425678.

The spelling of 288895420 in words is "two hundred eighty-eight million, eight hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1313161 2626322 5252644 6565805 13131610 14444771 26263220 28889542 57779084 72223855 144447710 288895420