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289112832 = 2832294327
BaseRepresentation
bin10001001110111…
…000001100000000
3202011000110020200
4101032320030000
51043003102312
644404405200
710110263361
oct2116701400
9664013220
10289112832
11139218828
12809a6800
1347b884a8
142a57bb68
151a5ad0dc
hex113b8300

289112832 has 108 divisors (see below), whose sum is σ = 862527120. Its totient is φ = 93026304.

The previous prime is 289112819. The next prime is 289112843. The reversal of 289112832 is 238211982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64653 + ... + 68979.

Almost surely, 2289112832 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 289112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431263560).

289112832 is an abundant number, since it is smaller than the sum of its proper divisors (573414288).

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

289112832 is a wasteful number, since it uses less digits than its factorization.

289112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4361 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 289112832 is about 17003.3182643859. The cubic root of 289112832 is about 661.2349330415.

The spelling of 289112832 in words is "two hundred eighty-nine million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 4327 5568 7424 8352 8654 11136 12981 16704 17308 22272 25962 33408 34616 38943 51924 66816 69232 77886 103848 125483 138464 155772 207696 250966 276928 311544 376449 415392 501932 553856 623088 752898 830784 1003864 1107712 1129347 1246176 1505796 1661568 2007728 2258694 2492352 3011592 3323136 4015456 4517388 4984704 6023184 8030912 9034776 9969408 12046368 16061824 18069552 24092736 32123648 36139104 48185472 72278208 96370944 144556416 289112832