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289498048 = 2674115761
BaseRepresentation
bin10001010000010…
…110001111000000
3202011202000122221
4101100112033000
51043102414143
644420540424
710113456430
oct2120261700
9664660587
10289498048
11139461194
1280b51714
1347c91928
142a63c2c0
151a6372ed
hex114163c0

289498048 has 56 divisors (see below), whose sum is σ = 672596064. Its totient is φ = 121036800.

The previous prime is 289497997. The next prime is 289498061. The reversal of 289498048 is 840894982.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 289497986 and 289498004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10488 + ... + 26248.

It is an arithmetic number, because the mean of its divisors is an integer number (12010644).

Almost surely, 2289498048 is an apocalyptic number.

289498048 is a gapful number since it is divisible by the number (28) 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 289498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336298032).

289498048 is an abundant number, since it is smaller than the sum of its proper divisors (383098016).

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

289498048 is a wasteful number, since it uses less digits than its factorization.

289498048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15821 (or 15811 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 289498048 is about 17014.6421649120. The cubic root of 289498048 is about 661.5284807525.

The spelling of 289498048 in words is "two hundred eighty-nine million, four hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 15761 18368 31522 63044 110327 126088 220654 252176 441308 504352 646201 882616 1008704 1292402 1765232 2584804 3530464 4523407 5169608 7060928 9046814 10339216 18093628 20678432 36187256 41356864 72374512 144749024 289498048