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289203216 = 24331263739
BaseRepresentation
bin10001001111001…
…110010000010000
3202011012001020020
4101033032100100
51043014000331
644410343440
710111121031
oct2117162020
9664161206
10289203216
1113927a725
1280a2ab80
1347bba683
142a5a2a88
151a5c9c96
hex113ce410

289203216 has 80 divisors (see below), whose sum is σ = 775188480. Its totient is φ = 92810880.

The previous prime is 289203209. The next prime is 289203259. The reversal of 289203216 is 612302982.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390975 + ... + 391713.

It is an arithmetic number, because the mean of its divisors is an integer number (9689856).

Almost surely, 2289203216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289203216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387594240).

289203216 is an abundant number, since it is smaller than the sum of its proper divisors (485985264).

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

289203216 is a wasteful number, since it uses less digits than its factorization.

289203216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 289203216 is about 17005.9758908450. The cubic root of 289203216 is about 661.3038321294.

The spelling of 289203216 in words is "two hundred eighty-nine million, two hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 263 372 496 526 739 744 789 1052 1478 1488 1578 2104 2217 2956 3156 4208 4434 5912 6312 8153 8868 11824 12624 16306 17736 22909 24459 32612 35472 45818 48918 65224 68727 91636 97836 130448 137454 183272 194357 195672 274908 366544 388714 391344 549816 583071 777428 1099632 1166142 1554856 2332284 3109712 4664568 6025067 9329136 12050134 18075201 24100268 36150402 48200536 72300804 96401072 144601608 289203216