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288828930 = 235135711297
BaseRepresentation
bin10001001101110…
…010111000000010
3202010111000210210
4101031302320002
51042420011210
644354334550
710105001565
oct2115627002
9663430723
10288828930
111390444a5
128088a456
1347ab91c0
142a5064dc
151a553e20
hex11372e02

288828930 has 64 divisors (see below), whose sum is σ = 748395648. Its totient is φ = 70917120.

The previous prime is 288828907. The next prime is 288828949. The reversal of 288828930 is 39828882.

It is a self number, because there is not a number n which added to its sum of digits gives 288828930.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222042 + ... + 223338.

It is an arithmetic number, because the mean of its divisors is an integer number (11693682).

Almost surely, 2288828930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288828930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374197824).

288828930 is an abundant number, since it is smaller than the sum of its proper divisors (459566718).

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

288828930 is a wasteful number, since it uses less digits than its factorization.

288828930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891.

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 288828930 is about 16994.9677846120. The cubic root of 288828930 is about 661.0184231070.

Subtracting from 288828930 its sum of digits (48), we obtain a palindrome (288828882).

The spelling of 288828930 in words is "two hundred eighty-eight million, eight hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 571 1142 1297 1713 2594 2855 3426 3891 5710 6485 7423 7782 8565 12970 14846 16861 17130 19455 22269 33722 37115 38910 44538 50583 74230 84305 101166 111345 168610 222690 252915 505830 740587 1481174 2221761 3702935 4443522 7405870 9627631 11108805 19255262 22217610 28882893 48138155 57765786 96276310 144414465 288828930