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288472980 = 22353125003
BaseRepresentation
bin10001001100011…
…011111110010100
3202002210221112110
4101030123332110
51042322113410
644342551020
710101660045
oct2114337624
9662727473
10288472980
11138921024
1280738470
13479c3193
142a4528cc
151a4d3720
hex1131bf94

288472980 has 72 divisors (see below), whose sum is σ = 834787296. Its totient is φ = 74429760.

The previous prime is 288472973. The next prime is 288472993. The reversal of 288472980 is 89274882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55159 + ... + 60161.

It is an arithmetic number, because the mean of its divisors is an integer number (11594268).

Almost surely, 2288472980 is an apocalyptic number.

288472980 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 288472980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417393648).

288472980 is an abundant number, since it is smaller than the sum of its proper divisors (546314316).

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

288472980 is a wasteful number, since it uses less digits than its factorization.

288472980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 288472980 is about 16984.4923386011. The cubic root of 288472980 is about 660.7467672285.

The spelling of 288472980 in words is "two hundred eighty-eight million, four hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2883 3844 4805 5003 5766 9610 10006 11532 14415 15009 19220 20012 25015 28830 30018 50030 57660 60036 75045 100060 150090 155093 300180 310186 465279 620372 775465 930558 1550930 1861116 2326395 3101860 4652790 4807883 9305580 9615766 14423649 19231532 24039415 28847298 48078830 57694596 72118245 96157660 144236490 288472980