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289882632 = 233132274093
BaseRepresentation
bin10001010001110…
…100001000001000
3202012110120012210
4101101310020020
51043202221012
644433105120
710116650604
oct2121641010
9665416183
10289882632
111396a4126
12810b81a0
13480979b0
142a6dc504
151a6b123c
hex11474208

289882632 has 64 divisors (see below), whose sum is σ = 784082880. Its totient is φ = 88780032.

The previous prime is 289882631. The next prime is 289882711. The reversal of 289882632 is 236288982.

289882632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (289882631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68778 + ... + 72870.

It is an arithmetic number, because the mean of its divisors is an integer number (12251295).

Almost surely, 2289882632 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 289882632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392041440).

289882632 is an abundant number, since it is smaller than the sum of its proper divisors (494200248).

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

289882632 is a wasteful number, since it uses less digits than its factorization.

289882632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4338 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 289882632 is about 17025.9399740514. The cubic root of 289882632 is about 661.8212872101.

The spelling of 289882632 in words is "two hundred eighty-nine million, eight hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 312 454 681 908 1362 1816 2724 2951 4093 5448 5902 8186 8853 11804 12279 16372 17706 23608 24558 32744 35412 49116 53209 70824 98232 106418 159627 212836 319254 425672 638508 929111 1277016 1858222 2787333 3716444 5574666 7432888 11149332 12078443 22298664 24156886 36235329 48313772 72470658 96627544 144941316 289882632