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87682266 = 23272891117
BaseRepresentation
bin1010011100111…
…10110011011010
320002222201110100
411032132303122
5134421313031
612411200230
72113200300
oct516366332
9202881410
1087682266
1145548a91
1225446076
131521ccc9
14b906270
157a6ede6
hex539ecda

87682266 has 72 divisors (see below), whose sum is σ = 223678260. Its totient is φ = 24748416.

The previous prime is 87682261. The next prime is 87682303. The reversal of 87682266 is 66228678.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70913241 + 16769025 = 8421^2 + 4095^2 .

It is not an unprimeable number, because it can be changed into a prime (87682261) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77940 + ... + 79056.

Almost surely, 287682266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87682266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111839130).

87682266 is an abundant number, since it is smaller than the sum of its proper divisors (135995994).

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

87682266 is a wasteful number, since it uses less digits than its factorization.

87682266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87682266 is about 9363.8809261972. The cubic root of 87682266 is about 444.2600436737.

The spelling of 87682266 in words is "eighty-seven million, six hundred eighty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 441 534 623 801 882 1117 1246 1602 1869 2234 3351 3738 4361 5607 6702 7819 8722 10053 11214 13083 15638 20106 23457 26166 39249 46914 54733 70371 78498 99413 109466 140742 164199 198826 298239 328398 492597 596478 695891 894717 985194 1391782 1789434 2087673 4175346 4871237 6263019 9742474 12526038 14613711 29227422 43841133 87682266